Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bo |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
148535161344 = 29 · 310 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,31790] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:162:1] |
Generators of the group modulo torsion |
j |
551368/81 |
j-invariant |
L |
5.6299821723737 |
L(r)(E,1)/r! |
Ω |
0.98768192156542 |
Real period |
R |
1.4250494142125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232bp2 27744d2 83232bl2 |
Quadratic twists by: -4 -3 17 |