Atkin-Lehner |
2- 3+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128o |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
189222912 = 212 · 33 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 5 -2 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149,285] |
[a1,a2,a3,a4,a6] |
Generators |
[12:9:1] |
Generators of the group modulo torsion |
j |
89915392/46197 |
j-invariant |
L |
4.3574411027886 |
L(r)(E,1)/r! |
Ω |
1.5816822571824 |
Real period |
R |
2.7549408734814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133b1 |
Quadratic twists by: -4 |