If I know the Army, it will be officially "Echo" and referred to as "Easy"!
"Is Easy Company still part of this group? "
The answer is actually more complicated that that. (I'm doing this from memory, so some of the details are fuzzy)
During The First and Second World Wars and the Korean Conflict, US Army Regiments fought as three battalion units organized like this:
Regt. HQ
1st Battalion
HQ Co.
Co. A
Co. B
Co. C
2nd Battalion
HQ Co.
Co. D
Co. E
Co. F
3rd Battalion
HQ Co.
Co. G
Co. H
Co. I
During the late 1950's and early 1960's the Army underwent a number a reorganizations at all levels.
Regiments began to have more than 3 battalions, but the battalions were assigned to different brigades and divisions. The linage also changed so that each numbered battalion had the linage of one of the old companies
Co. A = 1st Battalion
Co. B = 2nd Battalion
Co. C = 3rd Battalion
Co. D = 4th Battalion
Co. E = 5th Battalion
Each of the newer battalions is organized as follows:
Battalion
HQ CO.
Co. A
Co. B
Co. C
So the direct lineal decendent of Co. E, 506th Parachute Infantry would be 5th Battalion, 506th Airborne Infantry.
Unless, in the reorganization that occured, they have gone back to the WWII era Regimental organization.