Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bc |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4197360384 = -1 · 28 · 39 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -1 -7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,2284] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] [2:54:1] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
6.5669970920746 |
L(r)(E,1)/r! |
Ω |
0.92943099709545 |
Real period |
R |
0.44160063472959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4284h1 68544dv1 5712p1 119952er1 |
Quadratic twists by: -4 8 -3 -7 |