Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14016r |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2755657728 = 222 · 32 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353,-513] |
[a1,a2,a3,a4,a6] |
j |
18609625/10512 |
j-invariant |
L |
2.3734131084074 |
L(r)(E,1)/r! |
Ω |
1.1867065542037 |
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 |
14016be1 438c1 42048c1 |
Quadratic twists by: -4 8 -3 |