Atkin-Lehner |
2- 3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bl |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
38466801828 = 22 · 39 · 72 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5483,-154601] |
[a1,a2,a3,a4,a6] |
j |
926004075723/1954316 |
j-invariant |
L |
8.8782264715083 |
L(r)(E,1)/r! |
Ω |
0.55488917097248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96642h1 |
Quadratic twists by: -3 |