Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13728n |
Isogeny class |
Conductor |
13728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1447699968 = 29 · 32 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1112,-14532] |
[a1,a2,a3,a4,a6] |
Generators |
[79:630:1] |
Generators of the group modulo torsion |
j |
297275150024/2827539 |
j-invariant |
L |
6.6856649898846 |
L(r)(E,1)/r! |
Ω |
0.82716123061793 |
Real period |
R |
4.0413312075144 |
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 |
13728c3 27456c3 41184l3 |
Quadratic twists by: -4 8 -3 |