Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8496u |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-688176 = -1 · 24 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,43] |
[a1,a2,a3,a4,a6] |
j |
-16384/59 |
j-invariant |
L |
2.5068347533636 |
L(r)(E,1)/r! |
Ω |
2.5068347533636 |
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 |
2124a1 33984bk1 944f1 |
Quadratic twists by: -4 8 -3 |