Atkin-Lehner |
3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489l |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31248 |
Modular degree for the optimal curve |
Δ |
-785874966723 = -1 · 36 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2287,7676] |
[a1,a2,a3,a4,a6] |
j |
229376000/136323 |
j-invariant |
L |
1.093510768174 |
L(r)(E,1)/r! |
Ω |
0.54675538408636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82467m1 27489f1 |
Quadratic twists by: -3 -7 |