Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019g |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
8.3181217325592E+22 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33663536,-73899769624] |
[a1,a2,a3,a4,a6] |
j |
874063118544234320521/17233169434629057 |
j-invariant |
L |
1.5060551384846 |
L(r)(E,1)/r! |
Ω |
0.062752338356847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463f1 |
Quadratic twists by: 13 |