Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42588o |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
19780435346856912 = 24 · 314 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4585152,3779009845] |
[a1,a2,a3,a4,a6] |
j |
416013434950254592/771895089 |
j-invariant |
L |
1.3205299329405 |
L(r)(E,1)/r! |
Ω |
0.33013248324409 |
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 |
14196l1 42588ba1 |
Quadratic twists by: -3 13 |