Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bb |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
489888 |
Modular degree for the optimal curve |
Δ |
-75660034824000 = -1 · 26 · 39 · 53 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2814,-413361] |
[a1,a2,a3,a4,a6] |
j |
6826202124551/209584584000 |
j-invariant |
L |
5.3168574975924 |
L(r)(E,1)/r! |
Ω |
0.29538093543882 |
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 |
119130n1 |
Quadratic twists by: -19 |