Battery backup for lighting, especially ~400W with T5's would be financially unattractive. It's also unnecessary. What kills your tank during a power loss is the loss of circulation. No circulation, no oxygen exchange, no life. Powering a heater is also reasonable during an outage to maintain water temperatures. The size and type of backup power supply will depend on the plumbing of your system and circulation plan (power heads or closed loop? If using a sump, what's size return pump). Keep in mind that computer backup batteries are designed for short term use to allow for a graceful shut down, not to keep running all day. They're also not built with an inductive load in mind, as pumps demand.
For a 70g tank that is at risk for a short to moderate power loss, get a marine battery with a current inverter. If power loss is common or will last more than several hours, you should really consider a generator.
Henry