AT= Amp Tap, TD = Time dial. AT picks the left-right position of the trip curve, TD sets the up-down.
On old electromechanical relays, the pickup point of the curve was set by placing a screw in the proper tap setting. The relay had a tapped current transformer on the input with taps at (for example) 0.1, 0.25, 0.5, 0.75, 1.0, 2.5, 3.0, 4.0 and 5.0 for a standard 5 amp input. Place the tap screw in the 2.0 amp tap and apply 2.0 amps to the relay input and the relay disk would just start to turn against its coil spring. (Think of a watthour meter rotating disk held back by a coil spring). With tap current applied, the disk slowly rotates until the trip contact mounted on the disk's rotating shaft touches the stationary trip contact. The AT or tap point is the current at which the relay starts to react or the disk "picks up" and just starts to move. (Most relays would never trip with current less than 110% - 120% of the tap value).
That value is where you start to draw the overcurrent relay curve at infinite time at the top of the graph. It determines the horizontal position of the trip curve on the time vs current graph.
AT is also known as Tap, PU for pickup or Long Time pick up setting. Check the relay manual to see if it is expressed in actual amps or per unit amps.
TD or time dial determines the relative vertical position of the curve. A large time dial number means more time delay at the same constant current.
On mechanical relays a round dial with numbers on it at the top of the disk's shaft set the "home" or starting position of the disk. The stationary contact was located about 11:00 on the relay. At TD=0 the disk is rotated clockwise to 11:00 closing the trip all the time. At TD= 10, the home position is back so the moving contact starts at about 2:00 position. It takes a longer time for the fault current to spin the disk 270 degrees and close the trip contact.
Modern relays mimic these characteristics using digital calculations or analog circuits. But the terms still stick with us.