Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240ex |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-14756071585032000 = -1 · 26 · 320 · 53 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149403,22982848] |
[a1,a2,a3,a4,a6] |
j |
-7904859665241664/316273825125 |
j-invariant |
L |
0.78314192900744 |
L(r)(E,1)/r! |
Ω |
0.39157096816597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ei1 33120bk2 22080cw1 |
Quadratic twists by: -4 8 -3 |