Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616cb |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1958805504 = 216 · 36 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,-2160] |
[a1,a2,a3,a4,a6] |
j |
143748/41 |
j-invariant |
L |
2.1868986174404 |
L(r)(E,1)/r! |
Ω |
1.0934493087203 |
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 |
23616t1 5904h1 2624d1 |
Quadratic twists by: -4 8 -3 |