Atkin-Lehner |
2- 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150bw |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
17262720 |
Modular degree for the optimal curve |
Δ |
-1.1765750622451E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,121471042,-82561654789] |
[a1,a2,a3,a4,a6] |
j |
7928699789003062747206470135/4706300248980447245893632 |
j-invariant |
L |
2.485370421624 |
L(r)(E,1)/r! |
Ω |
0.034519033634894 |
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 |
45150bq1 |
Quadratic twists by: 5 |