Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552k |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-120512448 = -1 · 26 · 38 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42,504] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] [-4:16:1] |
Generators of the group modulo torsion |
j |
125000000/1883007 |
j-invariant |
L |
6.777535595339 |
L(r)(E,1)/r! |
Ω |
1.3829489372602 |
Real period |
R |
4.9007851358312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27552y1 55104ct1 82656l1 |
Quadratic twists by: -4 8 -3 |