Hello Ibrahim,
Yes, this image can be used on 2811 router and contains support for BGP. Please be aware that this image requires 256MB of RAM and 64MB of FLASH.
Also, this image is quite outdated so if you have an option of using a more recent version I would suggest doing it. The latest 12.4T release for your router is 12.4(24)T6, however, that requires 128 MB of FLASH. RAM requirements have not changed.
Best regards,
Peter