Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472ci |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
475517952 = 210 · 36 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-813,-8595] |
[a1,a2,a3,a4,a6] |
j |
58107136000/464373 |
j-invariant |
L |
1.7888408885628 |
L(r)(E,1)/r! |
Ω |
0.8944204442814 |
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 |
17472y1 4368l1 52416gi1 122304gv1 |
Quadratic twists by: -4 8 -3 -7 |