Atkin-Lehner |
2+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96746c |
Isogeny class |
Conductor |
96746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81164160 |
Modular degree for the optimal curve |
Δ |
-1.9288792331364E+21 |
Discriminant |
Eigenvalues |
2+ 2 3 -4 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7843957381,-267396833412963] |
[a1,a2,a3,a4,a6] |
Generators |
[12660986793833772941578847532306680937812059617615986260873741644984627768153541302173299289029107940968278066671614398598678130932263030426582836279610022:750761217408080938436922773975203001114774993449874783735253618025023623470762402417133158099084274761382689081443422164503777268831078382130059789213234843:121889545021995057281958813546656525410866916459864569301246246102686388770858896598753162138009892494265854731371327872018178684269691472236716298989] |
Generators of the group modulo torsion |
j |
-74822297247330097/2704 |
j-invariant |
L |
7.6627820532027 |
L(r)(E,1)/r! |
Ω |
0.008021133649227 |
Real period |
R |
238.83101779326 |
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 |
96746i1 |
Quadratic twists by: 61 |