Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200bk |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
157040640000000 = 220 · 33 · 57 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82008,9046512] |
[a1,a2,a3,a4,a6] |
j |
953054410321/2453760 |
j-invariant |
L |
1.1557386434164 |
L(r)(E,1)/r! |
Ω |
0.57786930823446 |
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 |
10650j1 17040x1 |
Quadratic twists by: -4 5 |