Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920x |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1967166259200000 = -1 · 219 · 39 · 55 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -3 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41283,3870018] |
[a1,a2,a3,a4,a6] |
j |
-96513090003/24400000 |
j-invariant |
L |
1.7773605530008 |
L(r)(E,1)/r! |
Ω |
0.44434013831343 |
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 |
5490a1 43920bc1 |
Quadratic twists by: -4 -3 |