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To determine the wattage take the heater current and multiply it by (120V - the sum of the heater voltages of the tubes in series with your resistor)...Or, if I'm interpreting the info you posted correctly, 0.15A*(120-35V)=12.75W....Go with a 13W or higher replacement.
There are also ways to replace the cord with a diode or a capacitor to drop the voltage, which have the advantage of not releasing nearly as much heat. You will have to google those as I'm not experienced enough with those methods to specifically advise you off the top of my head.
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