Analog to digital Convert for a bipolar Voltage

Post the exact model number of the sensor you are using (SDVH20-50B is not described in the data sheet you posted), together with a wiring diagram showing how you are testing it.

According to the data sheet, it is impossible for the sensor to output a negative voltage, so you are probably doing something wrong.

Note: it is not a good idea to use a 12V power supply when the manufacturer recommends 15V minimum.