Atkin-Lehner |
5+ 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17255b |
Isogeny class |
Conductor |
17255 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
-23609457060546875 = -1 · 510 · 73 · 172 · 293 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ -4 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1719466,-867296264] |
[a1,a2,a3,a4,a6] |
Generators |
[1823:45312:1] |
Generators of the group modulo torsion |
j |
-562217995949866169135104/23609457060546875 |
j-invariant |
L |
1.2553779121388 |
L(r)(E,1)/r! |
Ω |
0.065920432119744 |
Real period |
R |
1.5869863507802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86275i1 120785k1 |
Quadratic twists by: 5 -7 |