Battleship or battlecruiser?
Battleship. The Germans referred to her as Schlachtshiff (battleship in German). American and Brit naval intelligence always listed her as a battleship.
https://en.wikipedia.org/wiki/German_battleship_Scharnhorst
Scharnhorst was a German capital ship, alternatively described as a battleship and battlecruiser, of Nazi Germany’s Kriegsmarine.
Armament:
9 × 28 cm/54.5 (11 inch) SK C/34
12 × 15 cm/55 (5.9”) SK C/28
14 × 10.5 cm (4.1 in) SK C/33
16 × 3.7 cm (1.5 in) SK C/30
10 (later 16) × 2 cm (0.79 in) C/30 or C/38
6 × 533 mm torpedo tubes
Armor:
Belt: 350 mm (13.8 in)
Deck: 50 mm (2.0 in)
Turrets: 200 to 360 mm (7.9 to 14.2 in)
Conning tower: 350 mm[4]