Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744bb |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
13903239744 = 26 · 32 · 176 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-674,-3864] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:1144:27] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
4.9319530008618 |
L(r)(E,1)/r! |
Ω |
0.97118771271463 |
Real period |
R |
5.0782695624065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27744f1 55488j2 83232m1 96b1 |
Quadratic twists by: -4 8 -3 17 |