Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170k |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
10435936896000 = 210 · 32 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8257,239989] |
[a1,a2,a3,a4,a6] |
Generators |
[13:361:1] |
Generators of the group modulo torsion |
j |
529278808969/88704000 |
j-invariant |
L |
3.1417390072952 |
L(r)(E,1)/r! |
Ω |
0.68954836960457 |
Real period |
R |
0.37968559637289 |
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 |
129360hv1 48510dd1 80850fq1 2310e1 |
Quadratic twists by: -4 -3 5 -7 |