Atkin-Lehner |
2- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20140a |
Isogeny class |
Conductor |
20140 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6552 |
Modular degree for the optimal curve |
Δ |
-1258750000 = -1 · 24 · 57 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 1 -3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,-1707] |
[a1,a2,a3,a4,a6] |
Generators |
[87:810:1] |
Generators of the group modulo torsion |
j |
-3538944/78671875 |
j-invariant |
L |
3.1784192079129 |
L(r)(E,1)/r! |
Ω |
0.69848920454152 |
Real period |
R |
4.5504199452863 |
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 |
80560k1 100700a1 |
Quadratic twists by: -4 5 |