Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144t |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
74086182144 = 28 · 310 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112791,-14580070] |
[a1,a2,a3,a4,a6] |
Generators |
[443:4732:1] |
Generators of the group modulo torsion |
j |
850314450802768/396981 |
j-invariant |
L |
4.6694412275179 |
L(r)(E,1)/r! |
Ω |
0.26051393272942 |
Real period |
R |
4.4809899211493 |
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 |
54288t2 9048d2 |
Quadratic twists by: -4 -3 |