Abstract: Convector with finned tubes [1, 2, 3, 4] for conducting a first heating medium and an upright channel [42] for a second medium around at least one of the finned tubes [1]. A lower finned tube [1], a side finned tube [2] and an upper finned tube [3] are rigidly connected in series for the first medium so that they constitute a self-supporting structure. The side finned tube [2] constitutes a first side bording element for the upright channel [42], the second side bording element is either a further side finned tube [4] rigidly connected in parallel or a stiffening side plate [60].