Remember, this is a device that is used to produce mechanical power, and the electrical characteristics are secondary.
On a motor built for use with an inverter type speed control (variable frequency inter alia) the "synchronous" speed, Hz, are obviously just derived numbers. Volts is a specified value, and Amps are in this case specified (power factor needs to be known, and it will vary).
To drive a load, the primary mechanical constraints (or specified values) are Power and speed. Given those two, select a rated voltage, and calc the amps. Basic design shaft speed (1150rpm)is that of a common 6-pole SCIM with 4% slip. The motor is designed to produce its rated horsepower at that speed. The motor simply needs 58Hz to produce it, because it has less than 4% slip. (4% slip is somewhat high for an ordinary NEMA Design B, but your motor is not an ordinary NEMA - B)
I would deduce from the rated RPMs (as well as experience) that the motor needs to operate at no less than that speed, under full load, to avoid overheating. The motor is not designed to operate at over 2400rpm. Bearings, shaft run-out, rotor balance, eddy currents, and other factors all affect this figure.
don't forget:
-electrical power input and mechanical power output are not equal to each other.
-slip varies slightly
-power factor can vary widely
.
remember: An opinion is only as good as the one who gives it!