Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020ch |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-3698235137520 = -1 · 24 · 36 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13377,-602651] |
[a1,a2,a3,a4,a6] |
Generators |
[620:15147:1] |
Generators of the group modulo torsion |
j |
-3937024/55 |
j-invariant |
L |
7.2303382908806 |
L(r)(E,1)/r! |
Ω |
0.22177828972743 |
Real period |
R |
5.4336084075889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780b1 97020bz1 |
Quadratic twists by: -3 -7 |