Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19136b |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3233984 = -1 · 26 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ -1 3 4 1 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[9540:20321:729] |
Generators of the group modulo torsion |
j |
-862801408/50531 |
j-invariant |
L |
5.8047654174619 |
L(r)(E,1)/r! |
Ω |
0.79713733877901 |
Real period |
R |
7.2820141963908 |
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 |
19136f1 9568j1 |
Quadratic twists by: -4 8 |