Atkin-Lehner |
2- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
101866q |
Isogeny class |
Conductor |
101866 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
179820 |
Modular degree for the optimal curve |
Δ |
-376301560744 = -1 · 23 · 316 · 53 |
Discriminant |
Eigenvalues |
2- 2 3 2 3 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,941,-26951] |
[a1,a2,a3,a4,a6] |
j |
103823/424 |
j-invariant |
L |
13.028826916618 |
L(r)(E,1)/r! |
Ω |
0.48254916729444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106a1 |
Quadratic twists by: -31 |