Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18876i |
Isogeny class |
Conductor |
18876 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
475886171618958672 = 24 · 36 · 1112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-928889573,10896371582556] |
[a1,a2,a3,a4,a6] |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
1.287105870971 |
L(r)(E,1)/r! |
Ω |
0.14301176344122 |
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 |
75504bg3 56628j3 1716b3 |
Quadratic twists by: -4 -3 -11 |