Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784cl |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6386688 = 210 · 34 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8317,-294733] |
[a1,a2,a3,a4,a6] |
j |
62140690757632/6237 |
j-invariant |
L |
3.9993878005314 |
L(r)(E,1)/r! |
Ω |
0.49992347506642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784i1 3696g1 44352ey1 103488fm1 |
Quadratic twists by: -4 8 -3 -7 |