for one thing, there should be paperwork from the converter manufacturer, in your owner's manual stuff. that would give you some info.
second, you didn't mention what year it is. i think your model is relatively new, so it should have a 3-stage one.
third, all RVs have parasitic power drains and if you don't have it hooked to shore power or have solar panels, your battery will be dead in a few days.
as sherdep said, hook it up to shore power, get the battery recharged and install a battery disconnect switch.
with a disconnect switch, once they're recharged, you just turn the switch and they'll stay charged for weeks. no need to keep it plugged in.
and Zoe the Wonder Dog(R.I.P.)
'07 Roo 23SS pushing an '07 Chevy Avalanche
Equalizer WDH and Prodigy BC