Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960ck |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
91795091163955200 = 214 · 38 · 52 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-119376,6248340] |
[a1,a2,a3,a4,a6] |
j |
45932329342580689/22410910928700 |
j-invariant |
L |
2.4090337089058 |
L(r)(E,1)/r! |
Ω |
0.30112922008583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870n3 |
Quadratic twists by: -4 |