Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408de |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2324551876608 = 214 · 3 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9233,330447] |
[a1,a2,a3,a4,a6] |
j |
5313483250000/141879387 |
j-invariant |
L |
3.2641799761673 |
L(r)(E,1)/r! |
Ω |
0.81604499375583 |
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 |
57408d2 14352s2 |
Quadratic twists by: -4 8 |