Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782n |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
501258240 |
Modular degree for the optimal curve |
Δ |
-6.2136494001669E+31 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 11- 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4280331160,394275588314944] |
[a1,a2,a3,a4,a6] |
Generators |
[-82145:13882323:1] |
Generators of the group modulo torsion |
j |
-4895529968138367151960292529/35074430968885241062621184 |
j-invariant |
L |
1.5754855303471 |
L(r)(E,1)/r! |
Ω |
0.016918378090754 |
Real period |
R |
5.8201705164844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162e1 |
Quadratic twists by: -11 |