Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cu |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1006360715646 = -1 · 2 · 36 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,48273] |
[a1,a2,a3,a4,a6] |
j |
-1/286 |
j-invariant |
L |
5.5907829828826 |
L(r)(E,1)/r! |
Ω |
0.69884787285993 |
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 |
3718b1 2574i1 |
Quadratic twists by: -3 13 |