Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656bi |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-91836269973504 = -1 · 212 · 313 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18156,-1048448] |
[a1,a2,a3,a4,a6] |
j |
-221664812608/30755781 |
j-invariant |
L |
4.8976923945793 |
L(r)(E,1)/r! |
Ω |
0.20407051741176 |
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 |
82656be1 27552j1 |
Quadratic twists by: -4 -3 |