Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cy |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
95133450240 = 214 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 3 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2005,-31885] |
[a1,a2,a3,a4,a6] |
j |
54433153024/5806485 |
j-invariant |
L |
6.4652366742671 |
L(r)(E,1)/r! |
Ω |
0.71835963049527 |
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 |
56640r1 14160p1 |
Quadratic twists by: -4 8 |