Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240ce |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
917504 |
Modular degree for the optimal curve |
Δ |
125950121672130000 = 24 · 310 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134202,-8156171] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:2695:1] [-247:3150:1] |
Generators of the group modulo torsion |
j |
22916757309159424/10798192873125 |
j-invariant |
L |
11.875438265297 |
L(r)(E,1)/r! |
Ω |
0.26116416312304 |
Real period |
R |
0.71048692392787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080l1 |
Quadratic twists by: -3 |