Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350cn |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-7788456028125000 = -1 · 23 · 36 · 58 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82805,-10085803] |
[a1,a2,a3,a4,a6] |
j |
-220496102185/27350408 |
j-invariant |
L |
2.5154958268106 |
L(r)(E,1)/r! |
Ω |
0.13974976815615 |
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 |
2150f1 19350x1 |
Quadratic twists by: -3 5 |