Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408be |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40863476250574848 = 218 · 34 · 13 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-343201,76659647] |
[a1,a2,a3,a4,a6] |
j |
17054173989052201/155881791117 |
j-invariant |
L |
5.8277239654923 |
L(r)(E,1)/r! |
Ω |
0.36423274793834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cj2 897a2 |
Quadratic twists by: -4 8 |