Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248ce |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4349318888668790784 = -1 · 225 · 3 · 116 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2275009,1323804479] |
[a1,a2,a3,a4,a6] |
j |
-4967448100211756593/16591334871936 |
j-invariant |
L |
5.9208327575371 |
L(r)(E,1)/r! |
Ω |
0.24670136488251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248n2 15312q2 |
Quadratic twists by: -4 8 |