Atkin-Lehner |
2+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43472g |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
695552 = 28 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -4 -5 11+ 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,221] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
120472576/2717 |
j-invariant |
L |
4.1841359523249 |
L(r)(E,1)/r! |
Ω |
2.8589736660982 |
Real period |
R |
1.4635097909169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21736b1 |
Quadratic twists by: -4 |