Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57420q |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
3.0547253304253E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52850172,147880428361] |
[a1,a2,a3,a4,a6] |
Generators |
[-7768:299475:1] |
Generators of the group modulo torsion |
j |
1399637005092982976364544/26189346111328125 |
j-invariant |
L |
4.967155163638 |
L(r)(E,1)/r! |
Ω |
0.15857506422748 |
Real period |
R |
1.7402046531264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000292 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19140f3 |
Quadratic twists by: -3 |