Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bk |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
15027749130240 = 212 · 34 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9801,319479] |
[a1,a2,a3,a4,a6] |
Generators |
[13:434:1] |
Generators of the group modulo torsion |
j |
885012508801/127733760 |
j-invariant |
L |
5.7114523634728 |
L(r)(E,1)/r! |
Ω |
0.67267467254069 |
Real period |
R |
0.35377752653081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360gm1 48510bv1 80850by1 2310v1 |
Quadratic twists by: -4 -3 5 -7 |