Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bd |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
14319616 = 215 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 3 -2 3 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1729,27103] |
[a1,a2,a3,a4,a6] |
j |
17454600584/437 |
j-invariant |
L |
4.1246879346152 |
L(r)(E,1)/r! |
Ω |
2.0623439673082 |
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 |
27968cb1 13984h1 |
Quadratic twists by: -4 8 |