Another name for vitamin E is tocopherol.
Vitamin E is a group of fat-soluble compounds with antioxidant properties. There are actually eight different forms of vitamin E, four tocopherols (alpha, beta, gamma, and delta) and four tocotrienols (alpha, beta, gamma, and delta). Alpha-tocopherol is the most active form of vitamin E in humans.
It's important to note the difference between naturally sourced and synthetically produced vitamin E. The natural form is called RRR-alpha-tocopherol (or d-alpha-tocopherol), while the synthetic form is all rac-alpha-tocopherol (or dl-alpha-tocopherol).
In summary, while "vitamin E" is the common term, its scientific name, and thus another acceptable name for it, is tocopherol.