Atkin-Lehner |
2- 3+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128p |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-42049536 = -1 · 213 · 3 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 0 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-480,4224] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
-2992209121/10266 |
j-invariant |
L |
6.5620451568821 |
L(r)(E,1)/r! |
Ω |
2.0422364610785 |
Real period |
R |
1.6065830968176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266i1 |
Quadratic twists by: -4 |