Atkin-Lehner |
5+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
9545a |
Isogeny class |
Conductor |
9545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-189047076875 = -1 · 54 · 232 · 833 |
Discriminant |
Eigenvalues |
-1 -3 5+ 1 -1 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1422,3012] |
[a1,a2,a3,a4,a6] |
Generators |
[98:988:1] |
Generators of the group modulo torsion |
j |
318206313866511/189047076875 |
j-invariant |
L |
1.6641998948619 |
L(r)(E,1)/r! |
Ω |
0.61559178004181 |
Real period |
R |
0.22528456205572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85905f1 47725a1 |
Quadratic twists by: -3 5 |