Triumph Daytona 675 will not start......?

Yesterday, my 2008 Triumph Daytona 675 would not start for the 1st time, after push starting it and riding it for a while, it would not start again. Bought a brand new battery from the Triumph Dealership and put it in, and it still would not start. Took it to a local auto parts store and they tested and charged it, put it in and it still will not start. Dash and lights turn on fully. In Neutral, with the clutch down, when I push the starter, it makes a single click noise and a quite long squeaking noise. Any help???