Atkin-Lehner |
2- 5- |
Signs for the Atkin-Lehner involutions |
Class |
320f |
Isogeny class |
Conductor |
320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-256000000 = -1 · 214 · 56 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,975] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:40:1] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
1.3296773087947 |
L(r)(E,1)/r! |
Ω |
1.6080776337804 |
Real period |
R |
0.13781230466972 |
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 |
320c4 80b3 2880ba4 1600r4 |
Quadratic twists by: -4 8 -3 5 |