Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bn |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
688642560000 = 212 · 38 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3828,-81952] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:36:1] |
Generators of the group modulo torsion |
j |
2077552576/230625 |
j-invariant |
L |
4.9918055352817 |
L(r)(E,1)/r! |
Ω |
0.61133186738135 |
Real period |
R |
2.0413648606687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999322181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bk1 59040ba1 39360l1 |
Quadratic twists by: -4 8 -3 |