Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12376o |
Isogeny class |
Conductor |
12376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
24362304512 = 210 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 7- 2 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-728,-676] |
[a1,a2,a3,a4,a6] |
j |
41726726500/23791313 |
j-invariant |
L |
3.9769880653488 |
L(r)(E,1)/r! |
Ω |
0.9942470163372 |
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 |
24752h1 99008y1 111384bf1 86632v1 |
Quadratic twists by: -4 8 -3 -7 |