Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170y |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
328703760 = 24 · 32 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-943,-11182] |
[a1,a2,a3,a4,a6] |
j |
269961894847/958320 |
j-invariant |
L |
1.723651730271 |
L(r)(E,1)/r! |
Ω |
0.86182586513551 |
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 |
129360fh1 48510df1 80850dv1 16170c1 |
Quadratic twists by: -4 -3 5 -7 |