Atkin-Lehner |
2- 3+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128t |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-996830841765888 = -1 · 215 · 36 · 294 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -4 5 -1 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9760,1566976] |
[a1,a2,a3,a4,a6] |
Generators |
[544:12528:1] |
Generators of the group modulo torsion |
j |
-25104854795041/243366904728 |
j-invariant |
L |
4.4937011643694 |
L(r)(E,1)/r! |
Ω |
0.42158168702665 |
Real period |
R |
0.33309834333274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266k1 |
Quadratic twists by: -4 |