Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760j |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
937240844544000 = 211 · 312 · 53 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54723,4701922] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:2988:1] |
Generators of the group modulo torsion |
j |
12138804743042/627760125 |
j-invariant |
L |
4.5225113763053 |
L(r)(E,1)/r! |
Ω |
0.48991703511481 |
Real period |
R |
1.1538972550585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880f2 19920f2 |
Quadratic twists by: -4 -3 |