Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82008s |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
45913982976 = 211 · 39 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -3 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1371,16598] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:261:8] |
Generators of the group modulo torsion |
j |
190887986/30753 |
j-invariant |
L |
9.6022824399643 |
L(r)(E,1)/r! |
Ω |
1.085460227196 |
Real period |
R |
4.4231387768916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27336c1 |
Quadratic twists by: -3 |