Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6192w |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3180144623616 = 218 · 38 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49539,-4243070] |
[a1,a2,a3,a4,a6] |
j |
4502751117697/1065024 |
j-invariant |
L |
2.5601115977399 |
L(r)(E,1)/r! |
Ω |
0.32001394971748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
774b2 24768ce2 2064n2 |
Quadratic twists by: -4 8 -3 |