That's not a resistor, that's an inductor, hence the marking L 1. Is there any possibility you can see the colours of the rings? They contain a code which indicates the value.
There is a value calculator here, and a table here.
If you cannot read the colour code, you could try to find the assembly manual or something like this of the board and look for the L1 code.
But, as Chris Johnson says, take care: you cannot just replace the component. There might be other damage, and even if not, the cause of the damage should be investigated to make sure it will not happen again.
On a side note: how I know that this is an inductor, not a resistor? 1) because of the marking L, which is used for inductors, R is for resistors. 2) it's green, this kind of inductor is often green, resistors are often brown or blue-green. 3) you can see the copper wire inside.