Atkin-Lehner |
2- 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86580h |
Isogeny class |
Conductor |
86580 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
28051920 = 24 · 36 · 5 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7212,-235739] |
[a1,a2,a3,a4,a6] |
j |
3556668227584/2405 |
j-invariant |
L |
4.1445334262087 |
L(r)(E,1)/r! |
Ω |
0.51806665817468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9620a1 |
Quadratic twists by: -3 |