Lighting device comprising - a linear and elongated circuit board, which bears a plurality of LEDs, - a linear and elongated support body, which has a holding area for the circuit board, in which the circuit board is arranged, - a straight and elongated cover which is fixed onto the support body and thereby covers the circuit board, - a first end cap, which is fitted at a first longitudinal end of the lighting device onto the support body and the cover and which comprises electrical connecting elements connected to the circuit board, which protrude axially from the first end cap and are provided for the electrical and mechanical connection of the lighting device to a first socket, - a second end cap, which is fitted at a second longitudinal end of the lighting device onto the support body and the cover and comprises mechanical connecting elements, which protrude axially out from the second end cap and are provided for mechanically connecting the lighting device to a second socket opposite the first socket, - wherein the lighting device can be connected to an electrical power supply solely via the connecting elements of the first end cap, - wherein the LEDs are arranged in a straight row, - wherein the support body comprises a cooling vane on a side facing away from the circuit board in the region of the row which cooling vane is formed integrally on the support body, characterised in that - the cooling vane in the support body separates two hollow chambers (26, 27) from one another, - the support body in the cooling vane comprises a channel which extends radially outwards parallel to the longitudinal direction of the support body and is open to the surroundings of the lighting device. - a linear and elongated circuit board, which bears a plurality of LEDs, - a linear and elongated support body, which has a holding area for the circuit board, in which the circuit board is arranged, - a straight and elongated cover which is fixed onto the support body and thereby covers the circuit board, - a first end cap, which is fitted at a first longitudinal end of the lighting device onto the support body and the cover and which comprises electrical connecting elements connected to the circuit board, which protrude axially from the first end cap and are provided for the electrical and mechanical connection of the lighting device to a first socket, - a second end cap, which is fitted at a second longitudinal end of the lighting device onto the support body and the cover and comprises mechanical connecting elements, which protrude axially out from the second end cap and are provided for mechanically connecting the lighting device to a second socket opposite the first socket, - wherein the lighting device can be connected to an electrical power supply solely via the connecting elements of the first end cap, - wherein the LEDs are arranged in a straight row, - wherein the support body comprises a cooling vane on a side facing away from the circuit board in the region of the row which cooling vane is formed integrally on the support body, - the cooling vane in the support body separates two hollow chambers (26, 27) from one another, - the support body in the cooling vane comprises a channel which extends radially outwards parallel to the longitudinal direction of the support body and is open to the surroundings of the lighting device.