Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192bl |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5498790022656 = 29 · 34 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10992,-425340] |
[a1,a2,a3,a4,a6] |
j |
2438569736/91287 |
j-invariant |
L |
1.8693323943426 |
L(r)(E,1)/r! |
Ω |
0.46733307239778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192s2 15456v2 |
Quadratic twists by: -4 -7 |