Atkin-Lehner |
5+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
59995b |
Isogeny class |
Conductor |
59995 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-42837929875 = -1 · 53 · 136 · 71 |
Discriminant |
Eigenvalues |
0 -2 5+ 1 0 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,789,-4884] |
[a1,a2,a3,a4,a6] |
j |
11239424/8875 |
j-invariant |
L |
0.63493159585761 |
L(r)(E,1)/r! |
Ω |
0.63493159631326 |
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 |
355a1 |
Quadratic twists by: 13 |