Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82365k |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
163749104563970025 = 32 · 52 · 1710 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-530321,-147410760] |
[a1,a2,a3,a4,a6] |
Generators |
[222594:4212761:216] |
Generators of the group modulo torsion |
j |
683355524635441/6783993225 |
j-invariant |
L |
3.3247436090124 |
L(r)(E,1)/r! |
Ω |
0.17702115584569 |
Real period |
R |
9.3908086504214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017342 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4845d2 |
Quadratic twists by: 17 |