Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550bc |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2772000 |
Modular degree for the optimal curve |
Δ |
-1.310990599484E+21 |
Discriminant |
Eigenvalues |
2- 3 5- 0 -4 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2233695,1175715697] |
[a1,a2,a3,a4,a6] |
Generators |
[-12687:133580:27] |
Generators of the group modulo torsion |
j |
631052470913674419/671227186935808 |
j-invariant |
L |
13.556087104818 |
L(r)(E,1)/r! |
Ω |
0.10113111007409 |
Real period |
R |
6.0929399177001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27550m1 |
Quadratic twists by: 5 |