Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704bg |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1133451792 = 24 · 34 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3- -4 -5 11- 6 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-870,9459] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:129:1] |
Generators of the group modulo torsion |
j |
4556806433536/70840737 |
j-invariant |
L |
3.5497862342678 |
L(r)(E,1)/r! |
Ω |
1.5486852922474 |
Real period |
R |
0.19101073730289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676b1 90816bt1 68112bw1 |
Quadratic twists by: -4 8 -3 |