Atkin-Lehner |
3+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82173c |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5404172343843 = -1 · 3 · 78 · 132 · 432 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3210,-133293] |
[a1,a2,a3,a4,a6] |
Generators |
[13854:305203:27] |
Generators of the group modulo torsion |
j |
-31107273625/45934707 |
j-invariant |
L |
5.1892967651562 |
L(r)(E,1)/r! |
Ω |
0.30120305618131 |
Real period |
R |
4.3071415285529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739h2 |
Quadratic twists by: -7 |