Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112d |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-355837460868288 = -1 · 26 · 39 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19845,-1407672] |
[a1,a2,a3,a4,a6] |
j |
-5832000/2401 |
j-invariant |
L |
0.78854946011941 |
L(r)(E,1)/r! |
Ω |
0.19713736502985 |
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 |
14112c1 28224dm2 14112bh1 2016a1 |
Quadratic twists by: -4 8 -3 -7 |