Atkin-Lehner |
2- 3+ 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142s |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1782144 |
Modular degree for the optimal curve |
Δ |
-7236423414450413568 = -1 · 213 · 39 · 72 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1567865,-766245095] |
[a1,a2,a3,a4,a6] |
j |
-21654998396356480875/367648397828096 |
j-invariant |
L |
3.5043545744832 |
L(r)(E,1)/r! |
Ω |
0.067391434113692 |
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 |
65142c1 |
Quadratic twists by: -3 |