Atkin-Lehner |
2+ 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20886a |
Isogeny class |
Conductor |
20886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
29863817817828 = 22 · 3 · 597 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10515,316761] |
[a1,a2,a3,a4,a6] |
j |
3048625/708 |
j-invariant |
L |
0.62266069285865 |
L(r)(E,1)/r! |
Ω |
0.62266069285865 |
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 |
62658r1 354a1 |
Quadratic twists by: -3 -59 |