Oil filter location 2005 bmw 318 e46 series photo if possible thank you

This says yes.

Oil Cooler for BMW 3 Series E46 (1999-2005) - Turner ...

https://www.turnermotorsport.com > BMW-E46-Parts > c-...
BMWs use an external oil cooler to regulate the temperature of engine oil and prevent a breakdown in viscosity and lubrication characteristics.

https://big-manuals.com/products/1998-2005-bmw-3-series-e46-316-318-320-325-330-benzina-workshop-repair-service-manual-in-italian

Try this may be this could help

Defective pump. Or possible bad oil pressure sensor sending false reading to oil gauge. If oil pump is pumping the oil filter will be warm after running just short time. Last if pump runs off connecting shaft to distributor need to remove dist and verify solid connection. Dist runs off cam and pump runs off connecting rod to dist.

It is located just behind the radiator in a casing that is plastic on top fitted with a plastic bolt. You need a very big spanner to open it. In side it is a cylidrical like oil filter

possibly a problem with the button on the end of the stalk.
sounds like your indicator stalk needs changed out.
I had a similar problem with the other side and my intermittent wipers. changed the stalk and it was all good.

The engine coolant temp sensor is in the cyl head that tells the computer the engine temp.

Both E36 and E46 models have oil filter under the hood, towards the front of the block. You will need a special socket to remove the oil filter cap and once it's out, can replace the filter. Make sure to replace the gasket on oil filter cap, it should come in oil filter kit you bought.

moderate climate calls for 10W40 (10W60 if you use synthetic)

and 4.0 litres which includes the filter change as well.

Robert

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My recommendation is definitely in the certified sevis because if you make a wrong conection wires can spoil the main computer