Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598c |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10640448 |
Modular degree for the optimal curve |
Δ |
-3.9532103325345E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 4 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10094506,27621352404] |
[a1,a2,a3,a4,a6] |
j |
7841458987363/27250089984 |
j-invariant |
L |
1.0764612002357 |
L(r)(E,1)/r! |
Ω |
0.067278824651557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598bj1 |
Quadratic twists by: 29 |