Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782l |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1685376 |
Modular degree for the optimal curve |
Δ |
157659701689892864 = 214 · 7 · 1110 · 53 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-549342,-155776012] |
[a1,a2,a3,a4,a6] |
Generators |
[9430076103587:372042413985056:4904335099] |
Generators of the group modulo torsion |
j |
706848773521/6078464 |
j-invariant |
L |
7.9438618955508 |
L(r)(E,1)/r! |
Ω |
0.17545431782017 |
Real period |
R |
22.637977777477 |
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 |
89782x1 |
Quadratic twists by: -11 |