Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489q |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
25254996459 = 3 · 72 · 112 · 175 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 11+ 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1905,30918] |
[a1,a2,a3,a4,a6] |
Generators |
[29:2:1] |
Generators of the group modulo torsion |
j |
15603672287329/515408091 |
j-invariant |
L |
4.7102112223216 |
L(r)(E,1)/r! |
Ω |
1.1862162593475 |
Real period |
R |
1.9853931292901 |
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 |
82467bc1 27489b1 |
Quadratic twists by: -3 -7 |