Low back pain injury could be a sprain which is muscular, other injuries are disc related, side of the spine. Sometimes the disc pinches on nerves. However most commonly such impingements accompany weakness, sensation alterations in legs, reflexes reduce(checked by Dr).
Muscular related pain down the leg is common. Sometimes a joint of the pelvis, SIJ could give pain down the leg.
https://www.youtube.com/channel/UCl1cWua2RplXZcbLO6hHdFw
In thus i have given some basic exercises to start with. Getting movement in all directions is the key in this stage.
However we are unable to exactly give you specific exercises ( tailormade to your condition) unless you have an assessment done. This could be online with the current restrictions.
Next Steps
Start with the exercises focusing on exercises for restoring movements in all directions.
Health Tips
Have a specific assessment done. Avoid pushing any exercise into pain. If your pelvis is involved use ice rather than cold. Avoid lifting, pushing, pulling during this stage.