Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408cj |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[-22332:44735:64] |
Generators of the group modulo torsion |
j |
17054173989052201/155881791117 |
j-invariant |
L |
6.6002548384806 |
L(r)(E,1)/r! |
Ω |
0.19735670262729 |
Real period |
R |
5.5738794701333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408be2 14352bl2 |
Quadratic twists by: -4 8 |