Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272m |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4112750061027E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1139619,404291302] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:21182:1] |
Generators of the group modulo torsion |
j |
438536015880092936/64602489661101 |
j-invariant |
L |
6.2885685702491 |
L(r)(E,1)/r! |
Ω |
0.2043488310213 |
Real period |
R |
3.8467118571338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272t3 68544eb4 11424s2 |
Quadratic twists by: -4 8 -3 |