Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932n |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
6468246541411622352 = 24 · 39 · 72 · 114 · 315 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257654736,1591861601349] |
[a1,a2,a3,a4,a6] |
j |
6006573920763722710646784/20538810589759 |
j-invariant |
L |
2.5334346375732 |
L(r)(E,1)/r! |
Ω |
0.15833966876709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85932h1 |
Quadratic twists by: -3 |