Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784cf |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
204374016 = 215 · 34 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3297,71775] |
[a1,a2,a3,a4,a6] |
j |
120993582536/6237 |
j-invariant |
L |
3.3652757408203 |
L(r)(E,1)/r! |
Ω |
1.6826378704101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784by3 7392b3 44352dm4 103488gm4 |
Quadratic twists by: -4 8 -3 -7 |