Atkin-Lehner |
3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735l |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2629845062460225 = 32 · 52 · 438 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80470,-8439325] |
[a1,a2,a3,a4,a6] |
j |
9116230969/416025 |
j-invariant |
L |
2.5583421066853 |
L(r)(E,1)/r! |
Ω |
0.28426023407616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83205m2 645a2 |
Quadratic twists by: -3 -43 |