Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62920z |
Isogeny class |
Conductor |
62920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-9261376233091840 = -1 · 28 · 5 · 117 · 135 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25652,4892756] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3146:1] |
Generators of the group modulo torsion |
j |
-4116151296/20421115 |
j-invariant |
L |
4.625140195018 |
L(r)(E,1)/r! |
Ω |
0.35584497832869 |
Real period |
R |
0.64988133548812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840x1 5720b1 |
Quadratic twists by: -4 -11 |