Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bn |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
10135461773376 = 26 · 38 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6069,-98260] |
[a1,a2,a3,a4,a6] |
Generators |
[-49577:367220:1331] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
9.8861096243439 |
L(r)(E,1)/r! |
Ω |
0.56071548736945 |
Real period |
R |
8.8156202605992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002602 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83232m1 27744f1 288b1 |
Quadratic twists by: -4 -3 17 |