Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400l |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2722048000 = 211 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 3 -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-488,-3472] |
[a1,a2,a3,a4,a6] |
j |
50307514/10633 |
j-invariant |
L |
2.0615380039192 |
L(r)(E,1)/r! |
Ω |
1.0307690019844 |
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 |
86800v1 43400v1 |
Quadratic twists by: -4 5 |