Atkin-Lehner |
3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885k |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-958546875 = -1 · 3 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 11+ 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,100,1406] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-138:1] [-5:27:1] |
Generators of the group modulo torsion |
j |
647868416/5671875 |
j-invariant |
L |
3.6751961057536 |
L(r)(E,1)/r! |
Ω |
1.1472647422564 |
Real period |
R |
0.26695350328969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655q1 27885h1 |
Quadratic twists by: -3 13 |