My 2010 HD FLHTC wont start it acts like its out of time and wont start

Question edited for a lot more clarity, full 'year make model'.
Question moved to model category.

Harley Davidson has a beautiful wiring manual, but they only show 2 pages!

This is partial diagrams. The HD Forums are great.

https://www.google.com/search?q=2004+electra+glide+classic+rear+lights+wiring+diagram


Service Manuals are a better way if you are keeping the bike.

https://www.google.com/search?q=2004+electra+glide+classic+wiring+diagram+pdf

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Does the engine crank over? Are you getting power to the fuel pump (check fuses) once the fuel pump is working check for spark...
You can test spark by removing the sparkplug reconnecting it to the plug wire then hold the threads against the engine or cylinder while kicking it over.
DO NOT TOUCH THE METAL ON THE SPARKPLUG WITH BARE SKIN DURING THE CRANKOVER... those suckers hurt!

What about this manual. is it a 2010 or a 2011 you have posted about, service or manual, and do you want one or have one to dispose of ????

bad ignition mod.

Is your check engine light on? If yes, get a HD tech to read the trouble codes or do it yourself if you have access to a service manual. It will give you a starting point. My best guess at this point would be a failing ignition module. Are your plugs the correct color? White center with a gray ring where the threads end shows correct air/fuel ratio. Check fuel pump pressure. Make sure it's not something simple like a plugged fuel filter, dirty air cleaner, etc. Unfortunately, HD fuel injection systems are not very reliable.

Sonds like your bike may have a charging problem (regulator or stator) and you most likely need a new battery.