Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016x |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-96517226496 = -1 · 221 · 3 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 4 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1040,7892] |
[a1,a2,a3,a4,a6] |
Generators |
[102:2944:27] |
Generators of the group modulo torsion |
j |
30342134159/23563776 |
j-invariant |
L |
7.2839937214855 |
L(r)(E,1)/r! |
Ω |
0.68499871469417 |
Real period |
R |
1.3291984286309 |
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 |
4002h1 128064cc1 96048bm1 |
Quadratic twists by: -4 8 -3 |