The date 3112 B.C. is traditionally accepted as Lord Krishna's birth year in Indian astronomy and calendar calculations, placing it in the Dwapara Yuga. This date is often cited in traditional sources and aligns with certain astronomical interpretations. The 11:40 PM timing is also part of traditional accounts. Other options (112 A.D., 100 B.C., 1000 B.C.) are historically too recent and don't align with traditional chronology.