Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560dq |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
10245657600 = 210 · 38 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-621,-3645] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:24:1] [-18:45:1] |
Generators of the group modulo torsion |
j |
25905842176/10005525 |
j-invariant |
L |
10.560597317357 |
L(r)(E,1)/r! |
Ω |
0.98808111943984 |
Real period |
R |
1.3359982684605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560h1 14640b1 |
Quadratic twists by: -4 8 |