Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cl |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-272343750 = -1 · 2 · 3 · 57 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,162,42] |
[a1,a2,a3,a4,a6] |
Generators |
[10868:136691:64] |
Generators of the group modulo torsion |
j |
30080231/17430 |
j-invariant |
L |
13.227687774271 |
L(r)(E,1)/r! |
Ω |
1.0442527709222 |
Real period |
R |
6.3335660406811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430e1 |
Quadratic twists by: 5 |