I bought a brand new battery for the GTR and went on a short ten mile ride. I then went away for ten days and came back yesterday. When I went to start it I noticed the neutral light would not come on and the bike would not kick over. I put my battery charger on the battery and it went into the charging mode. The neutral light came back on and the horn sounded again. It appears that my battery was drained during the short ride and while sitting. Does this mean I need to replace an alternator?