Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ei |
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] |
Generators |
[142477027853691652:19758059793478103949:7405752743488] |
Generators of the group modulo torsion |
j |
-7904859665241664/316273825125 |
j-invariant |
L |
5.9810746468748 |
L(r)(E,1)/r! |
Ω |
0.12113303630876 |
Real period |
R |
24.688040642016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ex1 33120bh2 22080ci1 |
Quadratic twists by: -4 8 -3 |