When chargers specs say "Operating Voltage Range: DC 11.0-18.0V" - that means its a DC powered charger so once again, you'd need a separate power supply to go with that one.

It takes 84watts of charging power to charge a 5000mah 4S lipo at 1C (5amps). Anything less charger output power wise will limit charging current to stay under its power limit and take longer to complete a lipo charge.

There are AC/DC powered chargers with more than 50watts. The prob is they get pricey real quick. the Triton EQ 2 (sold by Tower) is a 100 watt AC/DC charger with a max charge rate of 8amps, it also costs ~$200. Somewhat cheaper is the Dynamite Passport Ultra charger - it has about 90watts of effective charger power and also a 8amp max charge rate. Its about $130.