Cicogne, it's not the Albatros from Jasta 39, I checked the photo you mention and the stripes in that one are vertical, in the above photo are diagonal. Next to the stripped one is one with the markings of Lt August Raben.
I didn't find anything in the Osprey books, I am looking in the Windsock datafiles now
EDIT: Ooops! The Albatros Fighters Special is the book I checked first, it certainly says is Jasta 39, but the pic doesn't match, but that book is old.
The newer book on Albatros DIII has the same photo as above, number 142 on page 52, and a color profile, it says is red and white.
Beautiful!

But it says that is "probably" Jasta 39, but doesn't match the photo on the older book. So it is not Jasta 39 and not Loeser.