Atkin-Lehner |
3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82173m |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
377035279803 = 32 · 78 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11516,-475707] |
[a1,a2,a3,a4,a6] |
Generators |
[10209:184403:27] |
Generators of the group modulo torsion |
j |
1435630901041/3204747 |
j-invariant |
L |
7.5277719152234 |
L(r)(E,1)/r! |
Ω |
0.46092704892337 |
Real period |
R |
4.0829519183295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739c2 |
Quadratic twists by: -7 |