Atkin-Lehner |
17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59177a |
Isogeny class |
Conductor |
59177 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125280 |
Modular degree for the optimal curve |
Δ |
-42307075241923 = -1 · 17 · 597 |
Discriminant |
Eigenvalues |
0 2 -2 2 5 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2321,-310744] |
[a1,a2,a3,a4,a6] |
j |
32768/1003 |
j-invariant |
L |
1.2402305980899 |
L(r)(E,1)/r! |
Ω |
0.31005764946622 |
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 |
1003a1 |
Quadratic twists by: -59 |