Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792cc |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
1520315343568896 = 235 · 3 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-376769,-88869279] |
[a1,a2,a3,a4,a6] |
j |
22563705894034033/5799542784 |
j-invariant |
L |
3.468645142947 |
L(r)(E,1)/r! |
Ω |
0.19270250786871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bv1 14448y1 |
Quadratic twists by: -4 8 |