Atkin-Lehner |
3+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16269d |
Isogeny class |
Conductor |
16269 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
649669977 = 35 · 11 · 172 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -4 2 11- -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-220,-364] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:21:1] |
Generators of the group modulo torsion |
j |
1177918188481/649669977 |
j-invariant |
L |
1.69657154262 |
L(r)(E,1)/r! |
Ω |
1.3265864470955 |
Real period |
R |
1.2789001020888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48807f1 |
Quadratic twists by: -3 |