All drives are now manufactured as ATA.....what you probably mean is how to tell if you have SATA (serial ata) or pata (parallel ATA ) which is talking about the interface connection or how the drive is connected to the motherboard.
you can look at how it is connected
1) flat cable(or heavy round) with 40 pin connector is IEDE or PATA
2) either a very thin single connector or a dual connector (1 for power connection) is SATA
or
you can check the BIOS (setup) and it should read :
primary master or slave connection shows it is an EIDE od PATA
if shows "first connected device" or similar it is SATA
or
you can do a search for the model number of youd computer and it will generally give you the details as to what controller is being used.
or
you can do a search for the model of the harddrive and it will generally tell you what configuration is being used.
Support | Deskstar T7K250 datasheet
shows that it is indeed a SATA drive.