Yes, the LED specifications are fairly straightforward, they are five 1W LEDs in series (you can almost see the connections in the photograph), and their working voltage is about 3V so they require about 330 mA controlled current drive to show full rated brightness.
The beauty of LEDs is that you do not have to drive them to full brightness to get the right colour.
You need a current driver circuit to power them, and if you are going to use two, then since you need more than 15V anyway, it would be better to run both in series from some sort of 35V supply using a current driver: For 330 mA, the "sense" value here is about (0.7V / 0.33A) 2.2 ohms. The base resistor could be about 470 ohms and the feedback transistor any general[purpose NPN. The power transistor needs to be rated for a few watts with a heatsink but actually does not need to be rated for the full 35V for two of those modules in series.