Atkin-Lehner |
2- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040g |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-8.8738707605504E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,861784,-1400043920] |
[a1,a2,a3,a4,a6] |
j |
17280588963391998551/216647235365000000 |
j-invariant |
L |
0.15484280258052 |
L(r)(E,1)/r! |
Ω |
0.077421397548543 |
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 |
9130b1 |
Quadratic twists by: -4 |