Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489s |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-475405844067 = -1 · 32 · 710 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2451,-57492] |
[a1,a2,a3,a4,a6] |
Generators |
[20951:39962:343] |
Generators of the group modulo torsion |
j |
-5764801/1683 |
j-invariant |
L |
5.6176172555477 |
L(r)(E,1)/r! |
Ω |
0.33422247503058 |
Real period |
R |
8.4040088193256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467be1 27489c1 |
Quadratic twists by: -3 -7 |