Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13572c |
Isogeny class |
Conductor |
13572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2743932672 = 28 · 37 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4215,-105298] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:2:1] |
Generators of the group modulo torsion |
j |
44376082000/14703 |
j-invariant |
L |
5.1636838098719 |
L(r)(E,1)/r! |
Ω |
0.59252788750112 |
Real period |
R |
1.4524446637296 |
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 |
54288bu2 4524b2 |
Quadratic twists by: -4 -3 |