Atkin-Lehner |
2- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544s |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9296107921408 = -1 · 213 · 73 · 11 · 673 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8128,320640] |
[a1,a2,a3,a4,a6] |
j |
-14500009266625/2269557598 |
j-invariant |
L |
2.8145612726184 |
L(r)(E,1)/r! |
Ω |
0.70364032703762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318j2 |
Quadratic twists by: -4 |