Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912d |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
3549553488 = 24 · 310 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498,-3175] |
[a1,a2,a3,a4,a6] |
j |
1171019776/304317 |
j-invariant |
L |
4.1203503947405 |
L(r)(E,1)/r! |
Ω |
1.0300875986851 |
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 |
31824h1 127296bg1 5304i1 |
Quadratic twists by: -4 8 -3 |