You can find your answer in the file p.d.f I have attached, which is a Conversion Table of Hardness. In this file there is a column tensile strength (MPa) and another column shore hardness (HS), just enough look into this file table conversion of hardness.
The conversion of shore hardness to young's modulus depends upon the scale you use during the hardness testing process, i.e., scale A, scale B, scale C, scale D, scale 0, or scale 00. However, there are only two formulae available in different articles which can convert shore-A and shore-B to the young's modulus (MPa);
Shore-A to Young’s Modulus (in MPa):= EXP((Shore-A)*0.0235-0.6403)
Shore-D to Young’s Modulus (in MPa):= EXP((Shore-D + 50)*0.0235-0.6403)
For other scales, you need to convert the respective hardness value of that scale into shore-A or shore-D scale. the conversion table is attached with this reply.