Atkin-Lehner |
2- 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
8418g |
Isogeny class |
Conductor |
8418 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
4241937142272 = 29 · 3 · 233 · 613 |
Discriminant |
Eigenvalues |
2- 3- 0 5 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-273183,-54980391] |
[a1,a2,a3,a4,a6] |
j |
2254679527469430336625/4241937142272 |
j-invariant |
L |
5.6383228780896 |
L(r)(E,1)/r! |
Ω |
0.20882677326258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67344o2 25254h2 |
Quadratic twists by: -4 -3 |