Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880cj |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
16005464064000 = 228 · 32 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10881,-388575] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2772:1] |
Generators of the group modulo torsion |
j |
543538277281/61056000 |
j-invariant |
L |
4.1282999811027 |
L(r)(E,1)/r! |
Ω |
0.47085779010423 |
Real period |
R |
4.3838076674579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880be1 12720bg1 |
Quadratic twists by: -4 8 |