Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540y |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
28203552000 = 28 · 37 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3072,-65036] |
[a1,a2,a3,a4,a6] |
j |
17179869184/151125 |
j-invariant |
L |
3.8496921879727 |
L(r)(E,1)/r! |
Ω |
0.64161536960811 |
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 |
24180d1 |
Quadratic twists by: -3 |