Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735g |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
320019004355625 = 34 · 54 · 436 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18529,447431] |
[a1,a2,a3,a4,a6] |
Generators |
[-5621:299039:343] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
6.3111687400608 |
L(r)(E,1)/r! |
Ω |
0.48684931355927 |
Real period |
R |
6.4816448994463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83205u3 15a1 |
Quadratic twists by: -3 -43 |