Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472p |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.4766561665332E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15966497,-16166769345] |
[a1,a2,a3,a4,a6] |
j |
1717167849316307276617/563299624074237039 |
j-invariant |
L |
0.93005993979453 |
L(r)(E,1)/r! |
Ω |
0.077504996090289 |
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 |
65472by2 1023a2 |
Quadratic twists by: -4 8 |