Atkin-Lehner |
2+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288d |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-993472 = -1 · 26 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 -4 5 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,47] |
[a1,a2,a3,a4,a6] |
j |
32768/15523 |
j-invariant |
L |
4.3224751125882 |
L(r)(E,1)/r! |
Ω |
2.1612375565634 |
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 |
52288s1 817a1 |
Quadratic twists by: -4 8 |