Atkin-Lehner |
2+ 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008b |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26368 |
Modular degree for the optimal curve |
Δ |
-31491072 = -1 · 210 · 33 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 3 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,270] |
[a1,a2,a3,a4,a6] |
Generators |
[15:60:1] |
Generators of the group modulo torsion |
j |
-108/1139 |
j-invariant |
L |
9.2543300473449 |
L(r)(E,1)/r! |
Ω |
1.6668072664629 |
Real period |
R |
1.3880324128885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82008l1 |
Quadratic twists by: -3 |