Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20664j |
Isogeny class |
Conductor |
20664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-777627648 = -1 · 211 · 33 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 1 -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,-1594] |
[a1,a2,a3,a4,a6] |
j |
-10000422/14063 |
j-invariant |
L |
1.2559885037438 |
L(r)(E,1)/r! |
Ω |
0.6279942518719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328d1 20664c1 |
Quadratic twists by: -4 -3 |