Atkin-Lehner |
11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5863a |
Isogeny class |
Conductor |
5863 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-64493 = -1 · 112 · 13 · 41 |
Discriminant |
Eigenvalues |
-1 -1 -2 2 11- 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-81182737/64493 |
j-invariant |
L |
1.7241727385416 |
L(r)(E,1)/r! |
Ω |
1.3320283900332 |
Real period |
R |
0.64719819466412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808x1 52767c1 64493i1 76219a1 |
Quadratic twists by: -4 -3 -11 13 |