Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680dr |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
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 |
1.5381351959114 |
L(r)(E,1)/r! |
Ω |
0.76906759795824 |
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 |
31680bx1 7920j1 10560bq1 |
Quadratic twists by: -4 8 -3 |