Atkin-Lehner |
2- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20636b |
Isogeny class |
Conductor |
20636 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
4075940176 = 24 · 7 · 112 · 673 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11- -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561,4282] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:67:1] [-3:77:1] |
Generators of the group modulo torsion |
j |
1222548865024/254746261 |
j-invariant |
L |
5.961572939803 |
L(r)(E,1)/r! |
Ω |
1.3139356812898 |
Real period |
R |
0.25206598874814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544y1 |
Quadratic twists by: -4 |