The batteries in these jumper packs are usually just 12 AH capacity AGM batteries like this one, which also has the charging instructions on the side differentiating Cyclic and standby charging requirements:
http://www.amazon.com/gp/product/B0079KW...80RDNG1TZ73MQSG
The larger ones have 18AH capacity batteries and I imagine the super HD ones can have even larger batteries.
http://www.amazon.com/UPG-UBCD5745-Seale...cid+AGM+battery
While charging through a ciggy plug works, hooking a depleted battery to it, can blow the Ciggy plug fuse.
Fully charging a battery to 100%, from 80% takes hours, about 4 hours at the Absorption voltage listed on the battery, which is 14.6 to 15.0 on the UB12120. Getting the battery to 100% is important for its lifespan. If it lives at 85% charged, it will lose capacity much quicker. One cannot speed up this ~4 hour 80% to 100% charge time. It is the nature of lead acid batteries.
The provided wall wart chargers with these jumper packs are not known to charge them ideally. Leaving them plugged in for several days might do it, or it might not.
Lead acid battery charging is not as simple as throwing a charger on it. 99% of people have no idea the requirements of a lead acid battery when max performance and longevity is desired.
Ideally you want voltage to remain over 12.75v for days after removing the charging source on such an AGM battery. If it falls below this, either it was not fully charged, or the battery is capacity compromised to some degree, likely from chronic undercharging.
Perfectly charging the UB12120 battery would require a 2.5 amp charging source until 14.7V is reached, and then 14.7v would be held for 3-4 hours, then the charging source would drop to 13.6v or so for floating/ maintaining the battery at full charge.
Putting a 13.6v charger on it will take much much longer to fully recharge, and possibly might never fully recharge it.
These wall wart DC power supplies provided with these jumper packs are not designed with logic circuitry for 14.7v for 3 hours and then dropping to 13.6. Holding 14.7 for too long would overcharge the battery and blow the vents. 13.6v will not, and is safer, but takes significantly longer and might not ever truly fully charge the battery.
A "smart" charger on the 2 amp AGM setting will do a much better job than the provided wall wart. Bleeding off the surface charge and restarting the charger will get it closer to 100% charged, as automatic 'smart' chargers are also afraid to fully charge a lead acid battery.
The blinking green light only indicates the charging source has decided to quit, or greatly reduce voltage and thus charging current. It DOES NOT mean the battery is fully charged, despite the mumbo jumbo the marketers would like you to believe.
Colder temperatures change required charging voltages greatly, so Such a charger left in a cold garage is not going to properly charge the battery. A proper float voltage on a flooded wet battery is 13.2 at 80F, but is 14.37v at 10F. Likewise temps over 77F or 80F require lower charging voltages.