Atkin-Lehner |
2+ 3- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390l |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
22733700 = 22 · 3 · 52 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
42180533641/22733700 |
j-invariant |
L |
5.1167256620313 |
L(r)(E,1)/r! |
Ω |
1.8696275472502 |
Real period |
R |
1.3683810097783 |
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 |
82170bp1 |
Quadratic twists by: -3 |