Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232a |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
543338496 = 212 · 33 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
8.3644595682035 |
L(r)(E,1)/r! |
Ω |
1.3876012233322 |
Real period |
R |
1.5069998903118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232a2 83232ba2 83232b2 |
Quadratic twists by: -4 -3 17 |