Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bv |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
53030450517408000 = 28 · 35 · 53 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-240836,-44222011] |
[a1,a2,a3,a4,a6] |
j |
38282975119927/1314144000 |
j-invariant |
L |
1.7277215978798 |
L(r)(E,1)/r! |
Ω |
0.21596519973497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cx1 95550dy1 19110dd1 |
Quadratic twists by: -3 5 -7 |