Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16008f |
Isogeny class |
Conductor |
16008 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-10082734848 = -1 · 28 · 310 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 -5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369,5427] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-486:1] [-9:90:1] |
Generators of the group modulo torsion |
j |
-21764027392/39385683 |
j-invariant |
L |
6.8598566197084 |
L(r)(E,1)/r! |
Ω |
1.1505650739479 |
Real period |
R |
0.14905407731895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32016d1 128064k1 48024n1 |
Quadratic twists by: -4 8 -3 |