Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cj |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-2509920000000 = -1 · 211 · 33 · 57 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-140088,20169792] |
[a1,a2,a3,a4,a6] |
Generators |
[192:504:1] |
Generators of the group modulo torsion |
j |
-19458380202497209/160634880 |
j-invariant |
L |
11.612889946907 |
L(r)(E,1)/r! |
Ω |
0.73100772861289 |
Real period |
R |
0.24069906663226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430c1 |
Quadratic twists by: 5 |