When I doubt myself I just test it out empirically. Build the circuit without an Arduino.
The hFE of that transistor is 80. (actually I see now, it is “20-70”, see below)
55W/12V = 4583mA/80=57mA
To get 57mA from a 3.3V source: 3.3V/57mA = 58 ohm
Connect the lamp to 12 V and to the collector of the transistor. Connect the emitter of the resistor to the ground. Provide 57mA to the base of the transistor. See if it all works out and doesn’t get too damn hot. Maybe throw an ammeter on it and make sure you are getting the amount of current through the transistor that you are expecting. Check the voltage drop around the lamp versus around the transistor to make sure the transistor isn’t being too inefficient and the lamp is dropping most of the voltage before it even hits the transistor. If you like it, then figure out how to get 57mA out of an Arduino pin that is only rated at 40mA (I suppose you could use two pins for this).
For your next project, try a FET.
P.S. I am assuming this is a DC circuit. I guess those lamps are sometimes used with low voltage AC but I am guessing you are not doing that.
EDIT: I read something wrong. Now I see that the hFE is “DC current gain hFE= 20 to 70 @ IC = 4 Adc” Well, that isn’t very confidence-inspiring, is it? I would certainly try different base currents and meter the circuit before I connected it to my Arduino so I knew what I was getting.