Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48050q |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
624960 |
Modular degree for the optimal curve |
Δ |
2729251319811200 = 27 · 52 · 318 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 6 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-406523,99563401] |
[a1,a2,a3,a4,a6] |
j |
348454105/128 |
j-invariant |
L |
9.3633045912751 |
L(r)(E,1)/r! |
Ω |
0.44587164719874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050i1 48050x1 |
Quadratic twists by: 5 -31 |