Atkin-Lehner |
2+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16762d |
Isogeny class |
Conductor |
16762 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-2799958004 = -1 · 22 · 176 · 29 |
Discriminant |
Eigenvalues |
2+ 3 3 2 1 3 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-343,3617] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
5.3024027955312 |
L(r)(E,1)/r! |
Ω |
1.3256006988828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58a1 |
Quadratic twists by: 17 |