Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536x |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-130471799808 = -1 · 210 · 3 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,987,-12309] |
[a1,a2,a3,a4,a6] |
j |
103737344000/127413867 |
j-invariant |
L |
1.1153560240438 |
L(r)(E,1)/r! |
Ω |
0.55767801202185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cj1 1596b1 76608z1 |
Quadratic twists by: -4 8 -3 |