Atkin-Lehner |
2- 5- |
Signs for the Atkin-Lehner involutions |
Class |
320f |
Isogeny class |
Conductor |
320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
5120 = 210 · 5 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
1.3296773087947 |
L(r)(E,1)/r! |
Ω |
3.2161552675608 |
Real period |
R |
0.82687382801832 |
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 |
320c1 80b2 2880ba1 1600r1 |
Quadratic twists by: -4 8 -3 5 |