Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846d |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
7864473157632 = 216 · 33 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5313,64701] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:447:1] |
Generators of the group modulo torsion |
j |
614363455856331/291276783616 |
j-invariant |
L |
3.3506391044943 |
L(r)(E,1)/r! |
Ω |
0.65970053049817 |
Real period |
R |
2.5395152418356 |
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 |
27846z1 |
Quadratic twists by: -3 |