I can't provide the specific horsepower as that information is not found in the model number you provided. The model number TAN5590H appears to be for a refrigerator compressor, typically used in domestic refrigeration applications, rather than automotive air conditioning. The actual horsepower or power specifications may vary depending on the refrigerant used and refrigeration capacity of the compressor.
To obtain accurate information about the specific horsepower (HP) of your compressor, it's best to consult the product documentation, manual, or contact the manufacturer of the compressor for additional details and specifications.