Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cu |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-122645643264000 = -1 · 225 · 34 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -1 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49520,-4258368] |
[a1,a2,a3,a4,a6] |
j |
-9082538350921/82944000 |
j-invariant |
L |
1.9191913810907 |
L(r)(E,1)/r! |
Ω |
0.1599326258785 |
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 |
10830bf1 86640dz1 |
Quadratic twists by: -4 -19 |