Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960x |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
5305794560 = 222 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1772,-28496] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:111:8] |
Generators of the group modulo torsion |
j |
2347334289/20240 |
j-invariant |
L |
3.0505647579947 |
L(r)(E,1)/r! |
Ω |
0.73622327860499 |
Real period |
R |
4.1435320529109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80960cb1 2530j1 |
Quadratic twists by: -4 8 |