Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688z |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
50478584679936 = 29 · 311 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19731,-1010522] |
[a1,a2,a3,a4,a6] |
j |
2276006576264/135241407 |
j-invariant |
L |
4.8518084917974 |
L(r)(E,1)/r! |
Ω |
0.40431737953629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86688bj1 28896v1 |
Quadratic twists by: -4 -3 |