It's very difficult to accurately ID a lily when it's IN bloom, impossible when out of bloom. Lilies need a cold period or vernalization period to bloom. I don't know enough about temps in Israel to know if you can get the required cold period for lilies without refrigeration. I'm including a link to the North American Lily Society. Perhaps someone there can be of assistance or point you to someone who can help you.

Here is a link that might be useful: North American Lily Society