Atkin-Lehner |
3- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425n |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.1007061004639E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1378251,-582555977] |
[a1,a2,a3,a4,a6] |
j |
18530544548528975521/1344451904296875 |
j-invariant |
L |
4.4792099645548 |
L(r)(E,1)/r! |
Ω |
0.13997531181636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14685f3 |
Quadratic twists by: 5 |