Atkin-Lehner |
2+ 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27816a |
Isogeny class |
Conductor |
27816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-808154047488 = -1 · 210 · 3 · 19 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24,43260] |
[a1,a2,a3,a4,a6] |
j |
-1556068/789212937 |
j-invariant |
L |
1.4228737725374 |
L(r)(E,1)/r! |
Ω |
0.71143688626866 |
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 |
55632i3 83448k3 |
Quadratic twists by: -4 -3 |