Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828x |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69672960 |
Modular degree for the optimal curve |
Δ |
-1.7827516375941E+27 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6399701544,-197065577703836] |
[a1,a2,a3,a4,a6] |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
0.40510652032835 |
L(r)(E,1)/r! |
Ω |
0.0084397197626597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24276l1 4284f1 |
Quadratic twists by: -3 17 |