Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bp |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2062988352 = 26 · 38 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561,4624] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:72:1] |
Generators of the group modulo torsion |
j |
85184/9 |
j-invariant |
L |
5.0061216506168 |
L(r)(E,1)/r! |
Ω |
1.4258865338008 |
Real period |
R |
1.755441802247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232bo1 27744k1 83232bj1 |
Quadratic twists by: -4 -3 17 |