Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090bl |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
647122452480 = 216 · 38 · 5 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3308,-61329] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:101:1] |
Generators of the group modulo torsion |
j |
5489965305721/887685120 |
j-invariant |
L |
8.7134882274081 |
L(r)(E,1)/r! |
Ω |
0.63642107650179 |
Real period |
R |
1.711423566317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030g1 |
Quadratic twists by: -3 |