Atkin-Lehner |
2- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
46640i |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
336225894400000 = 224 · 55 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58963,5439762] |
[a1,a2,a3,a4,a6] |
Generators |
[3306:6380:27] |
Generators of the group modulo torsion |
j |
5534806984083369/82086400000 |
j-invariant |
L |
6.1670751656841 |
L(r)(E,1)/r! |
Ω |
0.54210987125896 |
Real period |
R |
5.6880306858605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5830a1 |
Quadratic twists by: -4 |