Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330eq |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
7526400 |
Modular degree for the optimal curve |
Δ |
-5.9245437321803E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2931557,-11868329469] |
[a1,a2,a3,a4,a6] |
j |
-662989657192009/14097531093750 |
j-invariant |
L |
4.0312313024132 |
L(r)(E,1)/r! |
Ω |
0.047990848866296 |
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 |
19110b1 57330en1 |
Quadratic twists by: -3 -7 |