Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042cl |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-9.5004803484498E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1270179,-4722334527] |
[a1,a2,a3,a4,a6] |
j |
-802302449299393/33632965656576 |
j-invariant |
L |
5.0940000258872 |
L(r)(E,1)/r! |
Ω |
0.056600000287002 |
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 |
126126cb1 42042cy1 |
Quadratic twists by: -3 -7 |