Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960cd |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.1133282304688E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5002377,2688223322] |
[a1,a2,a3,a4,a6] |
Generators |
[76321:21093750:1] |
Generators of the group modulo torsion |
j |
569208099614384/457763671875 |
j-invariant |
L |
7.5227477700793 |
L(r)(E,1)/r! |
Ω |
0.082349823990504 |
Real period |
R |
2.8547221206624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000154694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320g1 129960ba1 |
Quadratic twists by: -3 -19 |