Atkin-Lehner |
3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20559g |
Isogeny class |
Conductor |
20559 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-2559780531 = -1 · 32 · 74 · 113 · 89 |
Discriminant |
Eigenvalues |
2 3- 1 7- 11+ 5 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-120,-2527] |
[a1,a2,a3,a4,a6] |
Generators |
[138:227:8] |
Generators of the group modulo torsion |
j |
-192699928576/2559780531 |
j-invariant |
L |
13.270955010922 |
L(r)(E,1)/r! |
Ω |
0.61699291204593 |
Real period |
R |
2.6886360345122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61677p1 |
Quadratic twists by: -3 |