Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27744bc |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1339345428672 = -1 · 26 · 3 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -2 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1638,-48948] |
[a1,a2,a3,a4,a6] |
j |
1088/3 |
j-invariant |
L |
3.5244820229318 |
L(r)(E,1)/r! |
Ω |
0.44056025286644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27744u1 55488dg1 83232x1 27744s1 |
Quadratic twists by: -4 8 -3 17 |