Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2888d |
Isogeny class |
Conductor |
2888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
5776 = 24 · 192 |
Discriminant |
Eigenvalues |
2- -1 3 0 -4 5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424,-3223] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:1:27] |
Generators of the group modulo torsion |
j |
1462911232 |
j-invariant |
L |
3.2304344119384 |
L(r)(E,1)/r! |
Ω |
1.0518959554744 |
Real period |
R |
1.5355294385943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5776d1 23104o1 25992n1 72200e1 |
Quadratic twists by: -4 8 -3 5 |