Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144r |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13386803219712 = 28 · 314 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7671,189434] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:522:1] |
Generators of the group modulo torsion |
j |
267492843088/71731413 |
j-invariant |
L |
4.9673017808046 |
L(r)(E,1)/r! |
Ω |
0.66068700063405 |
Real period |
R |
0.93979860660902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54288q2 9048c2 |
Quadratic twists by: -4 -3 |