Atkin-Lehner |
2- 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992bh |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-1.1289012156186E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18932397,31717531872] |
[a1,a2,a3,a4,a6] |
j |
-46905153407436463334883328/7055632597616196867 |
j-invariant |
L |
0.36192491608291 |
L(r)(E,1)/r! |
Ω |
0.18096243939245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748r1 |
Quadratic twists by: -4 |