Atkin-Lehner |
2+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248j |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
381943808 = 218 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1964,-33488] |
[a1,a2,a3,a4,a6] |
j |
3196010817/1457 |
j-invariant |
L |
2.8687060737191 |
L(r)(E,1)/r! |
Ω |
0.71717652643545 |
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 |
93248z1 1457a2 |
Quadratic twists by: -4 8 |