Atkin-Lehner |
3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27735f |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
188673837890625 = 35 · 510 · 433 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52929,4635631] |
[a1,a2,a3,a4,a6] |
j |
206246988924787/2373046875 |
j-invariant |
L |
2.8484046955684 |
L(r)(E,1)/r! |
Ω |
0.56968093911367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205p2 27735e2 |
Quadratic twists by: -3 -43 |