Atkin-Lehner |
13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17069b |
Isogeny class |
Conductor |
17069 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-6337600217 = -1 · 137 · 101 |
Discriminant |
Eigenvalues |
-1 -3 2 -2 -4 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,306,3150] |
[a1,a2,a3,a4,a6] |
Generators |
[10:79:1] |
Generators of the group modulo torsion |
j |
658503/1313 |
j-invariant |
L |
1.4498180260013 |
L(r)(E,1)/r! |
Ω |
0.92473715881327 |
Real period |
R |
0.78390816903145 |
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 |
1313a1 |
Quadratic twists by: 13 |