Atkin-Lehner |
3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
9243d |
Isogeny class |
Conductor |
9243 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-748683 = -1 · 36 · 13 · 79 |
Discriminant |
Eigenvalues |
0 3- 0 -1 -6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1920,-32382] |
[a1,a2,a3,a4,a6] |
j |
-1073741824000/1027 |
j-invariant |
L |
0.72123072972584 |
L(r)(E,1)/r! |
Ω |
0.36061536486292 |
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 |
1027a1 120159j1 |
Quadratic twists by: -3 13 |