Atkin-Lehner |
5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33635g |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133920 |
Modular degree for the optimal curve |
Δ |
5223957604326125 = 53 · 72 · 318 |
Discriminant |
Eigenvalues |
0 0 5- 7+ 1 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59582,-4386725] |
[a1,a2,a3,a4,a6] |
j |
27426816/6125 |
j-invariant |
L |
1.8627311943854 |
L(r)(E,1)/r! |
Ω |
0.3104551990629 |
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 |
33635i1 |
Quadratic twists by: -31 |