Atkin-Lehner |
3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27489k |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-1782029403 = -1 · 34 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,-3634] |
[a1,a2,a3,a4,a6] |
j |
-64000000/15147 |
j-invariant |
L |
1.048908705079 |
L(r)(E,1)/r! |
Ω |
0.52445435253946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467s1 561c1 |
Quadratic twists by: -3 -7 |