Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19188l |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
453884311296 = 28 · 39 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 2 5 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9903,377926] |
[a1,a2,a3,a4,a6] |
j |
575514878416/2432079 |
j-invariant |
L |
1.885069935629 |
L(r)(E,1)/r! |
Ω |
0.94253496781451 |
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 |
76752bv1 6396b1 |
Quadratic twists by: -4 -3 |