Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560bc |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
3162240000 = 210 · 34 · 54 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6621,205155] |
[a1,a2,a3,a4,a6] |
j |
31351628978176/3088125 |
j-invariant |
L |
5.4358162513916 |
L(r)(E,1)/r! |
Ω |
1.3589540622556 |
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 |
58560ch1 7320n1 |
Quadratic twists by: -4 8 |