Atkin-Lehner |
2- 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
22484d |
Isogeny class |
Conductor |
22484 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
89936 = 24 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11+ 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,28] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] [1:3:1] |
Generators of the group modulo torsion |
j |
67108864/5621 |
j-invariant |
L |
5.5794524477586 |
L(r)(E,1)/r! |
Ω |
3.3132581953278 |
Real period |
R |
0.56132585296514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936r1 |
Quadratic twists by: -4 |