Electric heating device, in particular for a motor vehicle, - with a heating volume through which a flow path of a fluid leads, - wherein at least two spaced heating modules are arranged in the heating volume, which extend in a longitudinal direction and are spaced apart from one another in a transverse direction extending transversely to the longitudinal direction, - wherein the respective heating module comprises at least one electrical heating element which generates heat when electrically supplied so that the heating module heats the fluid, - wherein the respective heating module has an electrically conductive outer shell, in particular an electrically conductive flat tube, which encloses the at least one heating element, - wherein each outer shell has two opposite outer walls in the transverse direction and two opposing side walls in a vertical direction extending transversely to the longitudinal direction and transversely to the transverse direction, - with a housing, which delimits a control volume - wherein the housing has a bottom which delimits the heating volume, - wherein the bottom for the respective heating module has a passage opening through which the heating module penetrates into the control volume in the longitudinal direction, - wherein the heating device has an electrically conductive conductor arrangement with a rail which runs in the transverse direction, characterized - in that the housing is an electrically conductive control housing, - in that power electronics for electrically supplying the heating modules are arranged in the control volume, - in that the heating modules in the control volume are electrically connected to the power electronics, - in that the electrically conductive conductor arrangement electrically connects the respective outer shell to housing, - in that the rail is distanced to the outer shells, - in that the rail is electrically and mechanically connected to the bottom, - in that the conductor arrangement, for the respective outer shell comprises at least one associated arm which protrudes from the rail and is electrically and mechanically connected to the associated outer shell. - with a heating volume through which a flow path of a fluid leads, - wherein at least two spaced heating modules are arranged in the heating volume, which extend in a longitudinal direction and are spaced apart from one another in a transverse direction extending transversely to the longitudinal direction, - wherein the respective heating module comprises at least one electrical heating element which generates heat when electrically supplied so that the heating module heats the fluid, - wherein the respective heating module has an electrically conductive outer shell, in particular an electrically conductive flat tube, which encloses the at least one heating element, - wherein each outer shell has two opposite outer walls in the transverse direction and two opposing side walls in a vertical direction extending transversely to the longitudinal direction and transversely to the transverse direction, - with a housing, which delimits a control volume - wherein the housing has a bottom which delimits the heating volume, - wherein the bottom for the respective heating module has a passage opening through which the heating module penetrates into the control volume in the longitudinal direction, - wherein the heating device has an electrically conductive conductor arrangement with a rail which runs in the transverse direction, characterized - in that the housing is an electrically conductive control housing, - in that power electronics for electrically supplying the heating modules are arranged in the control volume, - in that the heating modules in the control volume are electrically connected to the power electronics, - in that the electrically conductive conductor arrangement electrically connects the respective outer shell to housing, - in that the rail is distanced to the outer shells, - in that the rail is electrically and mechanically connected to the bottom, - in that the conductor arrangement, for the respective outer shell comprises at least one associated arm which protrudes from the rail and is electrically and mechanically connected to the associated outer shell.