Atkin-Lehner |
2- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106742j |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9272880 |
Modular degree for the optimal curve |
Δ |
-1.9192850547793E+22 |
Discriminant |
Eigenvalues |
2- -2 1 3 5 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-164385,-6665488391] |
[a1,a2,a3,a4,a6] |
j |
-2809/109744 |
j-invariant |
L |
5.5717195879503 |
L(r)(E,1)/r! |
Ω |
0.05571719445034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106742f1 |
Quadratic twists by: 53 |