[talanum1 (OP)]

We have:

E = QV = eV.

since the electric charge of an electron is negative, shouldn't this give negative energy?

[Kryptid]

Where did you get that equation from?

[Bored chemist]

For the sake of discussion, we might assume he got it from here:
"Historically, the electronvolt was devised as a standard unit of measure through its usefulness in electrostatic particle accelerator sciences, because a particle with electric charge q has an energy E = qV after passing through the potential V"
On this page
https://en.wikipedia.org/wiki/Electronvolt

or somewhere similar.
The equation is fine.
It's just that he hasn't realised that in general V=0 (on average) and so E= 0
(whether you consider a positive or a negative charge.

[Hayseed]

When men first started to play with charge(Ben and others), they called one charge +, positive and the other charge -, negative.  They even gave the neg and pos charges a direction......out for pos, in for neg.

Of course, we know that both fields move and travel out from the charge and both energies are positive energies.

Now we know(some know) the charges are not positive and negative......they are Left handed and Right handed charges.

This understanding is necessary to understand the asymmetric relationship between the two.

Of which modern science is un-aware.  And causes electrons to have a large circumference and slow rotation, with a low energy personality, and the proton to have a small circumference and a fast rotation, giving it a high energy personality.

e is the only constant in this universe.  Not c.  And of course we base everything on the wrong constant.

Get a balloon and an electroscope.   Blow balloon up and charge it.  Position the scope for a half scale reading.  Slowly, let air out of balloon.   Watch scope.   What does the scope do?  We did not add any charge to balloon.  The balloon size set the field density.  So, we can increase density without adding charge.   Particles work in this fashion.  This is how electrons and protons are the same thing, but have different energy profiles.  Personalities.