Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
84162w |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1535040 |
Modular degree for the optimal curve |
Δ |
-1351307410141805766 = -1 · 2 · 310 · 1310 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 3 0 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-400449,-112467681] |
[a1,a2,a3,a4,a6] |
Generators |
[55953222:1816837359:39304] |
Generators of the group modulo torsion |
j |
-51514785673/9802134 |
j-invariant |
L |
12.013479036192 |
L(r)(E,1)/r! |
Ω |
0.093925269338462 |
Real period |
R |
12.790465357311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84162g1 |
Quadratic twists by: 13 |