Hi All,
There are at least three different photos of this aircraft, but none of them are sufficiently close or clear enough to facilitate an informed representation of the insignia. I've stared long and hard at it, but I'm still unsure of many details. The 'hawk' seems to have something underneath it, as if it is clutching something in its talons. There is also a two-color object painted above the hawk itself.
Good luck. Actually, there were quite a few E.I's and other Eindeckers with personal and/or unit markings, but most of these took the form of simple fuselage stripes or wheel decorations.
Greg