Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bs |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
1864142392896 = 26 · 38 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6429,187220] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:540:1] |
Generators of the group modulo torsion |
j |
629863565248/39955041 |
j-invariant |
L |
8.2403559137175 |
L(r)(E,1)/r! |
Ω |
0.81924630953655 |
Real period |
R |
2.5146149022966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999113 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86688i1 28896f1 |
Quadratic twists by: -4 -3 |