O-Kay then ! now we're getting there .
Yes, it needs a
FULLY CHARGED BATTERY to keep running .
NO, the alternator won't run it unless the battery can hold at least 6 volts DC over night .
What you do now is : find an AGM battery that will fit in the same hole ~ what I do is : drain and clean the old battery and take it to the local electronics store, most will have multiple choices, get the one that's closest in size .
In none are quite right, take two slightly smaller batteries that when duct taped together make up the correct size .
Unless you've already done so, go to pardue brothers . something or another, they're in Florida and will sell you a *MUCH* better rectifier that the old stock one ever was, for less $ and they sell them 'Plug And Play' with the correct connectors or MPC's depending on your year .
Glad you stuck to it, you're going to have a GREAT Spring & Summer riding ! =

.