Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472bd |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
5820416 = 212 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 0 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69608,-7068656] |
[a1,a2,a3,a4,a6] |
j |
185842547928576/29 |
j-invariant |
L |
0.587847616499 |
L(r)(E,1)/r! |
Ω |
0.2939238081126 |
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 |
45472p1 90944m1 45472w1 |
Quadratic twists by: -4 8 -7 |