Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472w |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
684766121984 = 212 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 0 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3410792,2424549008] |
[a1,a2,a3,a4,a6] |
Generators |
[133280:196:125] |
Generators of the group modulo torsion |
j |
185842547928576/29 |
j-invariant |
L |
5.5409048036319 |
L(r)(E,1)/r! |
Ω |
0.52138724351466 |
Real period |
R |
1.7712058463691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472a1 90944a1 45472bd1 |
Quadratic twists by: -4 8 -7 |