Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598bi |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1143296 |
Modular degree for the optimal curve |
Δ |
3910662326423054592 = 28 · 34 · 13 · 299 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-404959,28002905] |
[a1,a2,a3,a4,a6] |
j |
506261573/269568 |
j-invariant |
L |
3.4731126127662 |
L(r)(E,1)/r! |
Ω |
0.21706953845577 |
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 |
65598b1 |
Quadratic twists by: 29 |