Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552w |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-440832 = -1 · 29 · 3 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -5 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-36] |
[a1,a2,a3,a4,a6] |
j |
-125000/861 |
j-invariant |
L |
1.2478113520864 |
L(r)(E,1)/r! |
Ω |
1.2478113520862 |
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 |
27552c1 55104d1 82656e1 |
Quadratic twists by: -4 8 -3 |