Looks like you question our competence too, Go buy a 48v power supply, and charge your battery to 48v. But to get it full,, you need a 54.6v power supply.
Nobody said anything conflicting, you need a charger that puts out 54.6v to charge a "48v lithium battery". The reason I specifically stated 54.6 is because there are "48v lithium batteries" that charge to 58v. Nowdays, those are mostly called 52v, but at one point lots of the options out there for 48v did charge to 58v. YOUR BATTERY,, is 13s and needs 54.6v to fully charge.
It's confusing,, a charger is called "48v" because it puts out 54.6v. But buy a 48v power supply, and it will put out 48v. This is because battery nominal voltage is stated pretty close to the lowest voltage it can put out before its empty, not the highest voltage it charges to. A power supply is stated as the voltage it puts out, so a 48v PS may or may not adjust up all the way to the 54.6v you need.
To get the charger you need with the type of plug you need,, you could just buy one from Dillenger,,,if they are still willing to talk to you.