Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586p |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1.034701553536E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-366324921,3111023301997] |
[a1,a2,a3,a4,a6] |
j |
-4209586785160189454377/801182513521564416 |
j-invariant |
L |
3.0247638189536 |
L(r)(E,1)/r! |
Ω |
0.047261935764128 |
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 |
26862o3 7326i4 |
Quadratic twists by: -3 -11 |