The essential answer has already been given but here are a few extra thoughts.

Artin L-functions are defined from a representation of a Galois group on a compex vector space, wheras Hasse--Weil (which are motivic) L-functions are defined by a Galois action on an l-adic one. In the former case, for topological reasons a complex representation of the infinite Galois group Gal$(\overline{\mathbb{Q}}/\mathbb{Q})$ factors through the Galois group of a finite extension $K/\mathbb{Q}$. This is not so for the $l$-adic representations. Hasse--Weil $L$-functions, much like Artin's, are expected to be the $L$-functions of cuspidal automorphic representations.

I notice you query the word "cuspidal" in your question. There are automorphic forms, such as Eisenstein series, which are not cuspidal. Basically this means there is a non-zero constant term in the Fourier expansion. This constant term is closely related to a pole of the $L$-function. To see this, all one needs is Mellin inversion and the residue theorem. Artin $L$-functions can be easily proved meromorphic, as a simple application of the Brauer induction theorem, but they are expected to moreover be holomorphic, and this is not known in generality. This holomorphy is crucial in the application of the so-called converse theorems which would give automorphy of Artin $L$-functions.

what is exactly the difference between the Selberg class and the set of Artin L-functions?
This is my first post here and I have a question about a CMOS circuit I have been designing for I while using the 4066 (I'm a noob to digital electronics). I am using a 4066 to pass random pulses I generated by feeding a noise generator with two two outputs (the generator is connected to a JFET amp and then clamped with diodes to two different dc voltages) into a 4050 (one buffer for each noise gen output). The pulses work perfectly. The only problem is, when the 4066 is not enabled, about 1 volt of the pulses pass through each switch. I was wondering if there was any way to fix that! Here is my circuit:


