Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160cn |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7433256960 = 215 · 32 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1825,30337] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:71:1] |
Generators of the group modulo torsion |
j |
20525811272/226845 |
j-invariant |
L |
5.7388990376695 |
L(r)(E,1)/r! |
Ω |
1.3266487770074 |
Real period |
R |
2.1629308138147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160dn2 34080q2 |
Quadratic twists by: -4 8 |