Atkin-Lehner |
3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735l |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
509659895825625 = 3 · 54 · 437 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1273075,-552982768] |
[a1,a2,a3,a4,a6] |
j |
36097320816649/80625 |
j-invariant |
L |
2.5583421066853 |
L(r)(E,1)/r! |
Ω |
0.14213011703808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205m4 645a4 |
Quadratic twists by: -3 -43 |