Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696c |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
7129088 = 211 · 592 |
Discriminant |
Eigenvalues |
2+ 0 2 3 2 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,-118] |
[a1,a2,a3,a4,a6] |
j |
3186 |
j-invariant |
L |
3.5301569521768 |
L(r)(E,1)/r! |
Ω |
1.7650784766319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27848g1 55696d1 |
Quadratic twists by: -4 -59 |