Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560da |
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 |
[-41:100:1] [-21:120:1] |
Generators of the group modulo torsion |
j |
608937674176/214453125 |
j-invariant |
L |
8.7259835344756 |
L(r)(E,1)/r! |
Ω |
0.67381648463916 |
Real period |
R |
1.6187611414612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560eb2 29280w1 |
Quadratic twists by: -4 8 |