Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170d |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3668884065000 = 23 · 34 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13039513,-18128854883] |
[a1,a2,a3,a4,a6] |
j |
2084105208962185000201/31185000 |
j-invariant |
L |
0.63558581259518 |
L(r)(E,1)/r! |
Ω |
0.079448226574397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360gn4 48510ef4 80850fu4 2310j4 |
Quadratic twists by: -4 -3 5 -7 |