Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560eb |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
878400000000 = 212 · 32 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2825,35223] |
[a1,a2,a3,a4,a6] |
Generators |
[1:180:1] |
Generators of the group modulo torsion |
j |
608937674176/214453125 |
j-invariant |
L |
8.8649616337941 |
L(r)(E,1)/r! |
Ω |
0.81465045096133 |
Real period |
R |
1.3602400918188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560da2 29280q1 |
Quadratic twists by: -4 8 |