Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bd |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
10137600 |
Modular degree for the optimal curve |
Δ |
-7.7552914455917E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13514040,-19589971581] |
[a1,a2,a3,a4,a6] |
Generators |
[4317:50421:1] |
Generators of the group modulo torsion |
j |
-17059227532335375369615616/484705715349479253903 |
j-invariant |
L |
6.881120994572 |
L(r)(E,1)/r! |
Ω |
0.039304822932958 |
Real period |
R |
1.0941915781667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41496d1 |
Quadratic twists by: -4 |