Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16606s |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
14843634097834 = 2 · 199 · 23 |
Discriminant |
Eigenvalues |
2- -3 1 2 -1 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6927,123693] |
[a1,a2,a3,a4,a6] |
j |
781229961/315514 |
j-invariant |
L |
2.54588601022 |
L(r)(E,1)/r! |
Ω |
0.63647150255501 |
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 |
874a1 |
Quadratic twists by: -19 |