Atkin-Lehner |
3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24453c |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
86043841187733 = 38 · 11 · 137 · 19 |
Discriminant |
Eigenvalues |
-2 3- 0 1 11+ 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11775,206622] |
[a1,a2,a3,a4,a6] |
j |
247673152000000/118029960477 |
j-invariant |
L |
1.0801934223073 |
L(r)(E,1)/r! |
Ω |
0.54009671115364 |
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 |
8151h1 |
Quadratic twists by: -3 |