Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632i |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
208595382113665872 = 24 · 310 · 13 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -6 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-535483,149034986] |
[a1,a2,a3,a4,a6] |
j |
22559008000000/277116957 |
j-invariant |
L |
3.1758296639396 |
L(r)(E,1)/r! |
Ω |
0.31758292004584 |
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 |
5928j1 |
Quadratic twists by: -19 |