Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9790c |
Isogeny class |
Conductor |
9790 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
15766892900 = 22 · 52 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4439,113286] |
[a1,a2,a3,a4,a6] |
j |
9670267777356649/15766892900 |
j-invariant |
L |
0.82707129040069 |
L(r)(E,1)/r! |
Ω |
1.240606935601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
78320s1 88110cm1 48950u1 107690ba1 |
Quadratic twists by: -4 -3 5 -11 |