Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
66780n |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
333312 |
Modular degree for the optimal curve |
Δ |
-757112106240 = -1 · 28 · 313 · 5 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579207,169667566] |
[a1,a2,a3,a4,a6] |
j |
-115148324799160144/4056885 |
j-invariant |
L |
1.3258688518404 |
L(r)(E,1)/r! |
Ω |
0.6629344254631 |
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 |
22260g1 |
Quadratic twists by: -3 |