Atkin-Lehner |
2- 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824bb |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36652290048 = 212 · 34 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9427032,-11143794348] |
[a1,a2,a3,a4,a6] |
j |
22619799658992939699673/8948313 |
j-invariant |
L |
5.5142414629425 |
L(r)(E,1)/r! |
Ω |
0.086160022859724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739d3 |
Quadratic twists by: -4 |