Atkin-Lehner |
2- 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824bb |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3200895655131254784 = -1 · 212 · 3 · 1112 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-569272,-186577900] |
[a1,a2,a3,a4,a6] |
j |
-4981085505655507513/781468665803529 |
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 |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739d4 |
Quadratic twists by: -4 |