Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bd |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-105775497216 = -1 · 217 · 39 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 0 3 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3564,-83376] |
[a1,a2,a3,a4,a6] |
j |
-1940598/41 |
j-invariant |
L |
1.2342462346864 |
L(r)(E,1)/r! |
Ω |
0.30856155867162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23616b1 5904a1 23616bj1 |
Quadratic twists by: -4 8 -3 |