So much more it isn't even funny. Regular ol' lightning crackles off of him whenever he so much as moves around very quickly. It can't be glimpsed very well in the movie, where its dark and they're underwater and any flares come off more as his bio-luminescence acting up.
But in the game, where there are maps with broad-daylight and a great deal more time to view him, he produces huge discharges of electricity whenever he does a powerful move or sprints.
His actual lightning attack is a beam of electricity nearly as big around as his head.
So like 90-180 bolts of lightning.
Maybe not enough to put down a kaiju of Godzilla's caliber, but it'd sure give him something to think about.