Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82668b |
Isogeny class |
Conductor |
82668 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4298112 |
Modular degree for the optimal curve |
Δ |
-1.1075489336815E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -3 0 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1127500,5042732436] |
[a1,a2,a3,a4,a6] |
Generators |
[139:72126:1] [5035:372006:1] |
Generators of the group modulo torsion |
j |
1893932336/132328809 |
j-invariant |
L |
12.810777702251 |
L(r)(E,1)/r! |
Ω |
0.097538119973093 |
Real period |
R |
2.5257930922785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
996b1 |
Quadratic twists by: -83 |