Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960by |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-120603197440 = -1 · 214 · 5 · 112 · 233 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11+ 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,715,-14765] |
[a1,a2,a3,a4,a6] |
Generators |
[794:8173:8] |
Generators of the group modulo torsion |
j |
2463850496/7361035 |
j-invariant |
L |
5.3092743284826 |
L(r)(E,1)/r! |
Ω |
0.5367000077307 |
Real period |
R |
4.9462215889498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960bf1 20240q1 |
Quadratic twists by: -4 8 |