The average current is 0.24 A which comes to be 2.88 W powered with a 12 V source, and which leads at least to 2.88 W x 24h = 69.2 W (in a day)
With a 20 W solar panel we get to power the battery with an average of 100 W (each day) depending of the day (from 120 W (day) in sunny days to 60 W (day) in cloudy ones).