Twitch54 is correct. One other way of determining how well (not "if") your amp will perform with the ESL speakers is to look at the specs again to see if the amp's rated output doubles each time the resistance is halved; i.e; if the amp is rated at 100 watts into 8 ohms, does it "double" to 200 watts into 4 ohms, and more important does it again double to 400 watts into 2 ohms. If so, it will probably "handle" the ESL speakers well.
THAT being said, I'd say go ahead and try your amp and see how well you like it after giving your speakers and cables a good amount of time to "break in" (a month or so should do it depending on how often you listen), The ESL speakers won't knock your socks off for the first 100 hours or so, but if you take the time to listen to them while they are breaking in you will perceive remarkable, audible improvements as time goes by, especially once the woofer loosens up.
When I first purchased my ESL-X I also purchased a Rotel RB-1582MKII amp as I was ignorant at that time of the impedance challenges (which I subsequently learned about years later from members of this website) and, even though that amp isn't known for being rated to drive 2 ohms or less it served my wonderfully for 5 years and sounded great to my ears for its cost.
I just purchased a SANDERS MAGTECH amplified which specifically designed for ESL and planar speakers and I am exceedingly pleased with it. If you'd like to learn more about amps and electrostatic speakers, visit the SANDERSOUND.COM website and read their technical papers.