Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376o |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-12020530675712 = -1 · 217 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 1 4 3 2 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-166828] |
[a1,a2,a3,a4,a6] |
j |
-1/608 |
j-invariant |
L |
5.8808376783147 |
L(r)(E,1)/r! |
Ω |
0.32671320435935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422b1 304a1 |
Quadratic twists by: -4 13 |