The elongate bulb (1) of the lamp, which defines a longitudinal axis (A), is closed at opposite ends by sealing parts (6; 32), with in each case one cap being fitted at one end, the cap having an electrical contact element (13; 25) which is connected in an electrically conductive manner to a supply conductor (15; 21) leading to a luminous means, the contact element being accommodated in a tubular extension (11; 22) of the sealing part; the contact element (13; 25) has an attachment part (14; 24) which is directed inward toward the lamp interior and is equipped with at least two barbs (20; 26) which are in contact with the tubular extension (11; 21).