Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536bd |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-68000503394304 = -1 · 212 · 315 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-916464,337387284] |
[a1,a2,a3,a4,a6] |
Generators |
[690:5832:1] |
Generators of the group modulo torsion |
j |
-20783106726980601457/16601685399 |
j-invariant |
L |
9.7255432930169 |
L(r)(E,1)/r! |
Ω |
0.51443596284598 |
Real period |
R |
0.31508759092402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3471a1 |
Quadratic twists by: -4 |