Atkin-Lehner |
2- 7- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
16198j |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
115776 |
Modular degree for the optimal curve |
Δ |
50646872829722624 = 236 · 72 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102736,-6562509] |
[a1,a2,a3,a4,a6] |
j |
119918919500865081297/50646872829722624 |
j-invariant |
L |
2.4923750479308 |
L(r)(E,1)/r! |
Ω |
0.2769305608812 |
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 |
129584g1 113386w1 |
Quadratic twists by: -4 -7 |