Atkin-Lehner |
2+ 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128g |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
77184 |
Modular degree for the optimal curve |
Δ |
-68971751424 = -1 · 211 · 39 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-984,-17676] |
[a1,a2,a3,a4,a6] |
Generators |
[60:378:1] |
Generators of the group modulo torsion |
j |
-51501554354/33677613 |
j-invariant |
L |
11.120090434555 |
L(r)(E,1)/r! |
Ω |
0.41402094611748 |
Real period |
R |
1.4921534953273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41064b1 |
Quadratic twists by: -4 |