Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330cu |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.1736239012319E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-875394,355956250] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:26039:1] |
Generators of the group modulo torsion |
j |
-865005601073041/136840035150 |
j-invariant |
L |
4.2393438721897 |
L(r)(E,1)/r! |
Ω |
0.21816914607784 |
Real period |
R |
0.4048219722636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bt2 8190h2 |
Quadratic twists by: -3 -7 |