Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bl |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
108355599023616 = 29 · 315 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 7 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81003,8859454] |
[a1,a2,a3,a4,a6] |
j |
157481496648008/290304567 |
j-invariant |
L |
2.3788067552652 |
L(r)(E,1)/r! |
Ω |
0.5947016796087 |
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 |
86688p1 28896g1 |
Quadratic twists by: -4 -3 |