Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096n |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-604266445515259904 = -1 · 221 · 13 · 536 |
Discriminant |
Eigenvalues |
2- 1 3 1 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29951,37356799] |
[a1,a2,a3,a4,a6] |
Generators |
[-37245:179776:125] |
Generators of the group modulo torsion |
j |
11334523606847/2305093557416 |
j-invariant |
L |
8.8206980326714 |
L(r)(E,1)/r! |
Ω |
0.22371769880896 |
Real period |
R |
1.6428252509814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44096d2 11024i2 |
Quadratic twists by: -4 8 |