Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bm |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20829500106706944 = -1 · 212 · 36 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45084,-7860800] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:120780:1] |
Generators of the group modulo torsion |
j |
-140608/289 |
j-invariant |
L |
6.8261880428856 |
L(r)(E,1)/r! |
Ω |
0.1537691133603 |
Real period |
R |
5.5490565490845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232bk2 9248c2 4896n2 |
Quadratic twists by: -4 -3 17 |