Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bk |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-1489880044800000 = -1 · 211 · 36 · 55 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26853,761686] |
[a1,a2,a3,a4,a6] |
j |
1434315418702/997915625 |
j-invariant |
L |
3.0205455710292 |
L(r)(E,1)/r! |
Ω |
0.30205455711156 |
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 |
95760bo1 5320a1 |
Quadratic twists by: -4 -3 |