Can you see the turtle? It’s on the right side of the mountain. Follow the red “wrong way” sign up, then slide your eyes just a little to the left. The “turtle” is lying on its belly, legs splayed.
This is not such a great photo. Here is a better one:
I bet you can really see that turtle now!
Here’s some information from that Sierra County website: Almost every visitor to Truth or Consequences hears mention of “the Turtle” or “Turtleback Mountain.” On maps, this mountain is usually indicated as “Caballo Cone” or “Turtle Mountain” but in T or C [Truth or Consequences], you’d best call it “Turtleback Mountain” around locals — that’s their term for it and they are sticking to it!
I took the photos in this post.