Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160cf |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
610574008320 = 218 · 38 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121281,-16216479] |
[a1,a2,a3,a4,a6] |
Generators |
[11463:1226664:1] |
Generators of the group modulo torsion |
j |
752602538173681/2329155 |
j-invariant |
L |
3.3124166486579 |
L(r)(E,1)/r! |
Ω |
0.25582980783482 |
Real period |
R |
6.4738676780865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160z4 17040bd3 |
Quadratic twists by: -4 8 |