Atkin-Lehner |
3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20691g |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-682803 = -1 · 33 · 113 · 19 |
Discriminant |
Eigenvalues |
2 3+ 0 -2 11+ -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-165,-817] |
[a1,a2,a3,a4,a6] |
j |
-13824000/19 |
j-invariant |
L |
2.6639298312255 |
L(r)(E,1)/r! |
Ω |
0.66598245780636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20691h1 20691d1 |
Quadratic twists by: -3 -11 |