Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656h |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12268800 |
Modular degree for the optimal curve |
Δ |
6.0094546861686E+21 |
Discriminant |
Eigenvalues |
2- 1 -2 5 0 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-174541264,887489013652] |
[a1,a2,a3,a4,a6] |
Generators |
[443366881267338:4097897577520349:54612490184] |
Generators of the group modulo torsion |
j |
3131359847/32 |
j-invariant |
L |
8.6485105365108 |
L(r)(E,1)/r! |
Ω |
0.12162963387167 |
Real period |
R |
17.776322803116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10082l1 80656i1 |
Quadratic twists by: -4 -71 |