Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560br |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-3.7331910712413E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-646707,-355649294] |
[a1,a2,a3,a4,a6] |
j |
-10017490085065009/12502381363200 |
j-invariant |
L |
2.5723473309905 |
L(r)(E,1)/r! |
Ω |
0.080385854093454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2070i1 66240eg1 5520ba1 82800ds1 |
Quadratic twists by: -4 8 -3 5 |