Atkin-Lehner |
2- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16112d |
Isogeny class |
Conductor |
16112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1776 |
Modular degree for the optimal curve |
Δ |
-16112 = -1 · 24 · 19 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 -4 -1 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58,191] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1:1] |
Generators of the group modulo torsion |
j |
-1372000000/1007 |
j-invariant |
L |
2.5819028668699 |
L(r)(E,1)/r! |
Ω |
3.8834757518855 |
Real period |
R |
0.664843308373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4028b1 64448k1 |
Quadratic twists by: -4 8 |