Atkin-Lehner |
2+ 3- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390i |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
5115082500 = 22 · 33 · 54 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3923,-94822] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:25:1] |
Generators of the group modulo torsion |
j |
6674511548192041/5115082500 |
j-invariant |
L |
4.4299021074769 |
L(r)(E,1)/r! |
Ω |
0.60329290690877 |
Real period |
R |
0.6119059328046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82170bv1 |
Quadratic twists by: -3 |