Private key exported from Electrum, unable to recreate Address with Python

I have created a new Electrum wallet, and here is an address:

1JkZLnmFfpVFLT2ZMtKzc6BuXMdmY41EHA

By right-clicking on it, I choose "Private key" which gives:

Kzuucz58MiTbbedeVuqBaPYwG1TQrV3n2NYU2dJRZ7HEHnHsUXWx

Now I want to be able (to learn how it works) to go from this private key to the address, via elliptic curve multiplication.

Here is what I tried:

import bitcoin #pybitcointoolsimport base58import binasciipvt = 'Kzuucz58MiTbbedeVuqBaPYwG1TQrV3n2NYU2dJRZ7HEHnHsUXWx'pvtdecoded = base58.b58decode(pvt)pvthex = binascii.hexlify(pvtdecoded)[2:-8]     # remove the first initial byte for version and 4 final bytes for checksumpvt2 = bitcoin.decode_privkey(pvthex, 'hex')    # decode as a decimal# generate pubkey from pvtkey with elliptic curve multiplicationpublic_key = bitcoin.fast_multiply(bitcoin.G, pvt2)addr = bitcoin.pubkey_to_address(public_key)print addr

which gives: 1LNSuE4NKHTyHygeKwnU1equ7MjPMhayxB which is not the original address.

What's wrong? How to recover the original address (1JkZLnmFfpVFLT2ZMtKzc6BuXMdmY41EHA) from the Private key by using elliptic curve multiplication?

Edit: As Kz....Wx private key looks like a WIF-compressed one, I tried to replace:

pvt2 = bitcoin.decode_privkey(pvthex, 'hex')    # decode as a decimal

by

pvt2 = bitcoin.decode_privkey('Kzuucz58MiTbbedeVuqBaPYwG1TQrV3n2NYU2dJRZ7HEHnHsUXWx', 'wif')

but then after elliptic curve multiplication, it gives another address, which is still not the good one! (18dFF3EQoPxR44TygdGxHPMe3LSLFeQe4U)