Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13572d |
Isogeny class |
Conductor |
13572 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
2307647377152 = 28 · 37 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3512055,2533320142] |
[a1,a2,a3,a4,a6] |
Generators |
[3515853:1268584642:27] |
Generators of the group modulo torsion |
j |
25670843788818706000/12365223 |
j-invariant |
L |
4.7380077511506 |
L(r)(E,1)/r! |
Ω |
0.49780400668655 |
Real period |
R |
9.5178176300498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
54288bv4 4524e4 |
Quadratic twists by: -4 -3 |