Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170d |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-5154517951672320 = -1 · 212 · 34 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46673,-5215083] |
[a1,a2,a3,a4,a6] |
j |
-95575628340361/43812679680 |
j-invariant |
L |
0.63558581259518 |
L(r)(E,1)/r! |
Ω |
0.15889645314879 |
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 |
129360gn1 48510ef1 80850fu1 2310j1 |
Quadratic twists by: -4 -3 5 -7 |