Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170p |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-352212870240000 = -1 · 28 · 35 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12568,-716736] |
[a1,a2,a3,a4,a6] |
j |
1865864036231/2993760000 |
j-invariant |
L |
1.1363650720647 |
L(r)(E,1)/r! |
Ω |
0.28409126801617 |
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 |
129360hh1 48510cs1 80850gm1 2310f1 |
Quadratic twists by: -4 -3 5 -7 |