Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240a |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-93117092750000 = -1 · 24 · 56 · 113 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21598,-1306953] |
[a1,a2,a3,a4,a6] |
Generators |
[19556311221953347:-1720037749481429442:2527126482061] |
Generators of the group modulo torsion |
j |
-69637687367215104/5819818296875 |
j-invariant |
L |
4.8734934912759 |
L(r)(E,1)/r! |
Ω |
0.19597257018158 |
Real period |
R |
24.868242972781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10120b1 80960ca1 101200c1 |
Quadratic twists by: -4 8 5 |