Atkin-Lehner |
2- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
16016g |
Isogeny class |
Conductor |
16016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
1049624576 = 220 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-419,-2910] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:530:27] |
Generators of the group modulo torsion |
j |
1986121593/256256 |
j-invariant |
L |
5.2482395433009 |
L(r)(E,1)/r! |
Ω |
1.0641975353896 |
Real period |
R |
4.9316403851465 |
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 |
2002b1 64064bb1 112112z1 |
Quadratic twists by: -4 8 -7 |