Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82764h |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1312875342054144 = -1 · 28 · 36 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5808,-1751596] |
[a1,a2,a3,a4,a6] |
j |
-65536/3971 |
j-invariant |
L |
0.84907831715486 |
L(r)(E,1)/r! |
Ω |
0.21226959749372 |
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 |
9196d1 7524g1 |
Quadratic twists by: -3 -11 |