Atkin-Lehner |
2+ 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770d |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-2.370708895593E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-375183,-2344420827] |
[a1,a2,a3,a4,a6] |
j |
-550763061373/223556889600 |
j-invariant |
L |
0.2607536228005 |
L(r)(E,1)/r! |
Ω |
0.065188405795631 |
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 |
55770cl1 |
Quadratic twists by: 13 |