Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688i |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
32 |
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] |
j |
629863565248/39955041 |
j-invariant |
L |
1.0705755788761 |
L(r)(E,1)/r! |
Ω |
0.53528779626864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86688bs1 28896o1 |
Quadratic twists by: -4 -3 |