Atkin-Lehner |
17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15317j |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
5102297106591478141 = 1711 · 533 |
Discriminant |
Eigenvalues |
2 3 -1 2 0 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-435523,20680045] |
[a1,a2,a3,a4,a6] |
j |
378497895469056/211384050589 |
j-invariant |
L |
10.067426840548 |
L(r)(E,1)/r! |
Ω |
0.20973805917808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901e1 |
Quadratic twists by: 17 |