Atkin-Lehner |
2- 3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486p |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
801146724624 = 24 · 34 · 234 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6394,-192556] |
[a1,a2,a3,a4,a6] |
j |
28909850981390497/801146724624 |
j-invariant |
L |
4.2783976698805 |
L(r)(E,1)/r! |
Ω |
0.53479970873506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
51888j2 19458b2 |
Quadratic twists by: -4 -3 |