This is an easy full day hike of 12 km (loop) going from 3,500–3,950 m just west of Stok.
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Monastery in the Karma Kagyu tradition. Not much to see here, unless you are interested in Buddhism, but it is opposite the street of one of the Dalai Lama residencies.
4,846 m
12.5 km (one-way), 1,200 m altitude gain—it's the pass that leads to Markha Valley. You might be able to do it in one day from Stok if you are fit, otherwise you might have to camp along the way. Note, people say that this is proper mountaineering and you will need some experience.
Soma Gompa
Just around the corner from Main Bazaar, it's a large modern gompa. It's also the location of the Ladakhi Buddhist Association, a conservative political organisation with ties to Hindutva groups.
Built by a Japanese Buddhist group. This modern stupa is somewhat kitschy, but still worth a visit.
4,050 m
Another 2-hr hike, which give you a view of the airport of Leh, the valley, and the Stok mountain and its range around. The trail starts east of Leh center, slightly north.