Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bx |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
491825157120 = 210 · 38 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,5704] |
[a1,a2,a3,a4,a6] |
j |
1171019776/658845 |
j-invariant |
L |
3.2157355307238 |
L(r)(E,1)/r! |
Ω |
0.80393388267994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680dr1 3960b1 10560r1 |
Quadratic twists by: -4 8 -3 |