Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432p |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8755200 |
Modular degree for the optimal curve |
Δ |
-7.7866685551266E+23 |
Discriminant |
Eigenvalues |
2- 1 0 7- -4 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21579152,-17707109420] |
[a1,a2,a3,a4,a6] |
j |
271310665353825311471375/190104212771646537728 |
j-invariant |
L |
1.5183087540177 |
L(r)(E,1)/r! |
Ω |
0.050610291783032 |
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 |
8554k1 |
Quadratic twists by: -4 |