Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365o |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3717501297730821225 = 310 · 52 · 178 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- -4 -4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-511103,-105751627] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:3553:1] |
Generators of the group modulo torsion |
j |
611722215487369/154013078025 |
j-invariant |
L |
5.7668470934502 |
L(r)(E,1)/r! |
Ω |
0.1818586213233 |
Real period |
R |
3.1710606010819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005196 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4845b2 |
Quadratic twists by: 17 |