Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885n |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
366912 |
Modular degree for the optimal curve |
Δ |
2103055765078125 = 3 · 57 · 11 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5- -5 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-621247,188199484] |
[a1,a2,a3,a4,a6] |
Generators |
[408:-1894:1] |
Generators of the group modulo torsion |
j |
32506551525721/2578125 |
j-invariant |
L |
3.9026544161318 |
L(r)(E,1)/r! |
Ω |
0.44250567916545 |
Real period |
R |
0.41997356244773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655k1 27885f1 |
Quadratic twists by: -3 13 |