Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
59150y |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2555904 |
Modular degree for the optimal curve |
Δ |
2.0857981333154E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -2 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1486866,64347428] |
[a1,a2,a3,a4,a6] |
Generators |
[-1107:19369:1] |
Generators of the group modulo torsion |
j |
274244925473/157351936 |
j-invariant |
L |
1.6604215302668 |
L(r)(E,1)/r! |
Ω |
0.15210246856636 |
Real period |
R |
2.7291166706867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59150cg1 59150ch1 |
Quadratic twists by: 5 13 |