Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775dh |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-3.6301080253897E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2367951,-1432354577] |
[a1,a2,a3,a4,a6] |
j |
-93153502255/2302911 |
j-invariant |
L |
4.0103843736336 |
L(r)(E,1)/r! |
Ω |
0.060763399610549 |
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 |
47775t1 47775bo1 |
Quadratic twists by: 5 -7 |