Atkin-Lehner |
5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18785b |
Isogeny class |
Conductor |
18785 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
16670008590625 = 55 · 13 · 177 |
Discriminant |
Eigenvalues |
-1 0 5- 2 4 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4158042,-3262443616] |
[a1,a2,a3,a4,a6] |
j |
329379602649536529/690625 |
j-invariant |
L |
1.0572491507017 |
L(r)(E,1)/r! |
Ω |
0.10572491507017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93925e1 1105a1 |
Quadratic twists by: 5 17 |