Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162n |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
360981780774912 = 214 · 39 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51057,4358173] |
[a1,a2,a3,a4,a6] |
Generators |
[221:-2068:1] [-238:1847:1] |
Generators of the group modulo torsion |
j |
15170112168875/372031488 |
j-invariant |
L |
6.8673325069907 |
L(r)(E,1)/r! |
Ω |
0.536476593299 |
Real period |
R |
1.6001006830445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21054v1 63162bv1 |
Quadratic twists by: -3 -11 |