Atkin-Lehner |
5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113735a |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
-48405977776818125 = -1 · 54 · 239 · 43 |
Discriminant |
Eigenvalues |
-1 3 5+ -2 -1 5 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22053,10665706] |
[a1,a2,a3,a4,a6] |
j |
-658503/26875 |
j-invariant |
L |
1.1885162425246 |
L(r)(E,1)/r! |
Ω |
0.29712868699884 |
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 |
113735j1 |
Quadratic twists by: -23 |