The Astronomical New Moon is on Wednesday 17 January 2018 at 4.26pm. The crescent will not be visible on this day.
The calculations for Thursday 18 January 2018 are as follows:
Crescent age 38 hours 10 minutes
Crescent altitude 11.13 degrees
Crescent elongation 17.22 degrees
The crescent can be easily seen with naked eye.
01 Jamadi ul Awwal 1439 AH will be on Friday 19 January 2018.