Atkin-Lehner |
3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18675g |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-2836265625 = -1 · 37 · 56 · 83 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 3 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,-1134] |
[a1,a2,a3,a4,a6] |
j |
357911/249 |
j-invariant |
L |
3.2356719590444 |
L(r)(E,1)/r! |
Ω |
0.80891798976109 |
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 |
6225i1 747e1 |
Quadratic twists by: -3 5 |