Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ez |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-4.7269095245683E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88577184,320888382176] |
[a1,a2,a3,a4,a6] |
Generators |
[2785:309519:1] |
Generators of the group modulo torsion |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
5.6019494119117 |
L(r)(E,1)/r! |
Ω |
0.13004891842136 |
Real period |
R |
1.5384181913881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544bt1 17136br1 22848ce1 |
Quadratic twists by: -4 8 -3 |