Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160ef |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77756841824256000 = 215 · 318 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2360748,-1396054928] |
[a1,a2,a3,a4,a6] |
j |
60910917333827912/3255076125 |
j-invariant |
L |
1.9487607427348 |
L(r)(E,1)/r! |
Ω |
0.12179754642093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dx3 10080ce2 6720cm3 100800lt4 |
Quadratic twists by: -4 8 -3 5 |