Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786bp |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
9457567812 = 22 · 32 · 77 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2182,38756] |
[a1,a2,a3,a4,a6] |
Generators |
[18:64:1] |
Generators of the group modulo torsion |
j |
9759185353/80388 |
j-invariant |
L |
4.2441721632091 |
L(r)(E,1)/r! |
Ω |
1.301539120334 |
Real period |
R |
0.81522178001304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398g1 |
Quadratic twists by: -7 |