Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9680d |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-3018173044480 = -1 · 28 · 5 · 119 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,83360] |
[a1,a2,a3,a4,a6] |
Generators |
[85761:964342:729] |
Generators of the group modulo torsion |
j |
16/5 |
j-invariant |
L |
5.8392142342967 |
L(r)(E,1)/r! |
Ω |
0.62104120024755 |
Real period |
R |
9.4022976768195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4840e1 38720cx1 87120br1 48400e1 |
Quadratic twists by: -4 8 -3 5 |