Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640q |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-17778528000 = -1 · 28 · 34 · 53 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,564,-3636] |
[a1,a2,a3,a4,a6] |
j |
11279504/10125 |
j-invariant |
L |
2.6981382803992 |
L(r)(E,1)/r! |
Ω |
0.6745345768738 |
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 |
43320a1 86640b1 |
Quadratic twists by: -4 -19 |