Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664db |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.3559896166652E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8025409,8751704545] |
[a1,a2,a3,a4,a6] |
j |
218064699967398378193/51726898829088 |
j-invariant |
L |
1.7421558785875 |
L(r)(E,1)/r! |
Ω |
0.21776948481535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664bi4 10416bo3 124992gt4 |
Quadratic twists by: -4 8 -3 |