Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dt |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
975183300 = 22 · 37 · 52 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1238,-16383] |
[a1,a2,a3,a4,a6] |
j |
838561807/3900 |
j-invariant |
L |
3.2205373656961 |
L(r)(E,1)/r! |
Ω |
0.80513434207527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110i1 57330fe1 |
Quadratic twists by: -3 -7 |