Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54384q |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1265741739958468608 = 218 · 318 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-634688,-187153356] |
[a1,a2,a3,a4,a6] |
Generators |
[-452:2754:1] |
Generators of the group modulo torsion |
j |
6903118205253474625/309018979482048 |
j-invariant |
L |
6.1143130267531 |
L(r)(E,1)/r! |
Ω |
0.16961350846935 |
Real period |
R |
2.0026945972941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6798j2 |
Quadratic twists by: -4 |