Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27048f |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-436230144 = -1 · 211 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5336,-151824] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3696:1] |
Generators of the group modulo torsion |
j |
-23923707806/621 |
j-invariant |
L |
6.6407038224902 |
L(r)(E,1)/r! |
Ω |
0.27929177436901 |
Real period |
R |
3.9628233696303 |
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 |
54096j1 81144bw1 27048a1 |
Quadratic twists by: -4 -3 -7 |