Atkin-Lehner |
2- 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cx |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
369425306250000 = 24 · 310 · 58 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22703,942887] |
[a1,a2,a3,a4,a6] |
j |
1775121145174441/506756250000 |
j-invariant |
L |
1.9971861872112 |
L(r)(E,1)/r! |
Ω |
0.49929654016691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030x1 |
Quadratic twists by: -3 |