Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170ba |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44943829796250 = 2 · 34 · 54 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38638,-2908594] |
[a1,a2,a3,a4,a6] |
j |
158077154143/1113750 |
j-invariant |
L |
2.725345990953 |
L(r)(E,1)/r! |
Ω |
0.34066824886912 |
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 |
129360fr2 48510dl2 80850ea2 16170f2 |
Quadratic twists by: -4 -3 5 -7 |