Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690v |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-9108910080 = -1 · 212 · 34 · 5 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,380,-3568] |
[a1,a2,a3,a4,a6] |
j |
6067406185919/9108910080 |
j-invariant |
L |
4.1257792148434 |
L(r)(E,1)/r! |
Ω |
0.68762986914057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520bv1 29070k1 48450h1 |
Quadratic twists by: -4 -3 5 |