Atkin-Lehner |
3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431h |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-164265514994763 = -1 · 39 · 7 · 137 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 7+ -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-58023,5395511] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:2281:1] [147:253:1] |
Generators of the group modulo torsion |
j |
-4475809792000/34031907 |
j-invariant |
L |
9.8109281573026 |
L(r)(E,1)/r! |
Ω |
0.57707039315026 |
Real period |
R |
0.47225743233849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187l1 |
Quadratic twists by: 13 |