Atkin-Lehner |
2- 3- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bs |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
288768 |
Modular degree for the optimal curve |
Δ |
-16161081968880 = -1 · 24 · 38 · 5 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4018,-167731] |
[a1,a2,a3,a4,a6] |
j |
9842996005991/22168836720 |
j-invariant |
L |
2.8890047118326 |
L(r)(E,1)/r! |
Ω |
0.36112559971251 |
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 |
38190h1 |
Quadratic twists by: -3 |