The usual trick is
rm ./--1355509766.jpg
Update: here's what man rm has to say about this:
man rm
To remove a file whose name starts with a '-', for example '-foo', useone of these commands: rm -- -foo rm ./-foo
Use -- to separate options from parameters.
--
$ rm -- --1355509766.jpg
This works with other commands too. For example:
$ touch -- -v # create a file called -v$ grep foo -- -v # grep for "foo" in file called -v
Try file name with path:
$ rm ./--file.name
Example:
$ echo dgag > --test.txt$ ls--test.txt$ rm ./--test.txt$ ls