Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560cl |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4572364800 = 214 · 3 · 52 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1681,-25775] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:13:1] |
Generators of the group modulo torsion |
j |
32082281296/279075 |
j-invariant |
L |
4.0902696015939 |
L(r)(E,1)/r! |
Ω |
0.74595739895624 |
Real period |
R |
2.7416241244055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bj2 14640bh2 |
Quadratic twists by: -4 8 |