Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82280b |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
99558800 = 24 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2783,56507] |
[a1,a2,a3,a4,a6] |
Generators |
[11:165:1] [22:77:1] |
Generators of the group modulo torsion |
j |
10175894784/425 |
j-invariant |
L |
10.666659178326 |
L(r)(E,1)/r! |
Ω |
1.7775248796196 |
Real period |
R |
0.50007078666255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82280l1 |
Quadratic twists by: -11 |