Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016ce |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6200229888 = 220 · 34 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 0 2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,-1633] |
[a1,a2,a3,a4,a6] |
j |
47045881/23652 |
j-invariant |
L |
4.2972891877504 |
L(r)(E,1)/r! |
Ω |
1.0743222969376 |
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 |
14016p1 3504s1 42048cn1 |
Quadratic twists by: -4 8 -3 |