Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628j |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.4692101911022E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8360006160,-294210392735171] |
[a1,a2,a3,a4,a6] |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
1.1367904139743 |
L(r)(E,1)/r! |
Ω |
0.01578875571391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876i3 5148e3 |
Quadratic twists by: -3 -11 |