Metal is not a specific material, how is this ever going to be answered?!

there are different types of modulus it depends on what types of stress is acting on the material if its direct stress then then there is modulus of elasticity,if tis shear stress then its modulus of rigidity and when its volumetric stress it is bulk modulus and so on

Yes, indeed.

Sometimes tensile modulus is different from flexural modulus, especially for composites.

But tensile modulus and elastic modulus and Young's modulus are equivalent terms.

It truly could mean anything, depending on the material, to guide you in the right direction, material properties could include

Malleability

Compressive strength

Ductility

Fatigue limit

Flexible modulus

Flexible strength

Fracture toughness

Hardness

Poisson's ratio

Shear modulus

Shear strength

Softness

Specific modulus

Specific weight

Tensile strength

Yield strength

Young's modulus

Density

Shear strain

Permeability

pH

Surface Tension

Melting Point

Conductivity

The elastic modulus, also called Young's modulus, is identical to the tensile modulus. It relates stress to strain when loaded in tension.