Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885s |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-569442791775 = -1 · 3 · 52 · 112 · 137 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2961,71616] |
[a1,a2,a3,a4,a6] |
Generators |
[53:227:1] |
Generators of the group modulo torsion |
j |
-594823321/117975 |
j-invariant |
L |
3.1724368389086 |
L(r)(E,1)/r! |
Ω |
0.88231845749401 |
Real period |
R |
0.8988922344204 |
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 |
83655u1 2145f1 |
Quadratic twists by: -3 13 |