Atkin-Lehner |
2- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472h |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149184 |
Modular degree for the optimal curve |
Δ |
208243962637568 = 28 · 117 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 -5 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16184,382028] |
[a1,a2,a3,a4,a6] |
j |
1831223513161728/813452979053 |
j-invariant |
L |
1.0118812641725 |
L(r)(E,1)/r! |
Ω |
0.50594063203766 |
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 |
10868d1 |
Quadratic twists by: -4 |