Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160bd |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1635840000 = -1 · 212 · 32 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,279,855] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] |
Generators of the group modulo torsion |
j |
584277056/399375 |
j-invariant |
L |
6.997530172441 |
L(r)(E,1)/r! |
Ω |
0.94509405264511 |
Real period |
R |
1.8510142331823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160a2 34080k1 |
Quadratic twists by: -4 8 |