Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760g |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2377589760 = 210 · 36 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-1258] |
[a1,a2,a3,a4,a6] |
j |
7086244/3185 |
j-invariant |
L |
2.2814940081533 |
L(r)(E,1)/r! |
Ω |
1.140747004075 |
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 |
65520v1 3640i1 |
Quadratic twists by: -4 -3 |