Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bi |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
67722117120 = 215 · 310 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13548,606832] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1080:1] [14:648:1] |
Generators of the group modulo torsion |
j |
11512557512/2835 |
j-invariant |
L |
6.7861811562588 |
L(r)(E,1)/r! |
Ω |
1.0717129147094 |
Real period |
R |
1.5830221561945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160bs3 10080bx3 6720z3 100800fv4 |
Quadratic twists by: -4 8 -3 5 |