Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784cr |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2549361475584 = 216 · 38 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9569,348831] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:693:1] |
Generators of the group modulo torsion |
j |
1478729816932/38900169 |
j-invariant |
L |
5.2695188022322 |
L(r)(E,1)/r! |
Ω |
0.80993663765859 |
Real period |
R |
0.81326096345412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14784e2 3696d2 44352em2 103488gj2 |
Quadratic twists by: -4 8 -3 -7 |