Atkin-Lehner |
2- 3+ 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bi |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1930110248521728 = 212 · 39 · 74 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33833,-1118231] |
[a1,a2,a3,a4,a6] |
j |
217591492796523/98059759616 |
j-invariant |
L |
8.8131492190237 |
L(r)(E,1)/r! |
Ω |
0.36721453897969 |
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 |
96642d1 |
Quadratic twists by: -3 |