Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968y |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1493041269142467072 = 29 · 36 · 712 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-285784,-1428820] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:4998:1] |
Generators of the group modulo torsion |
j |
42852953779784/24786408969 |
j-invariant |
L |
6.2869537496137 |
L(r)(E,1)/r! |
Ω |
0.2261397034104 |
Real period |
R |
2.3167661600209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79968j2 11424e2 |
Quadratic twists by: -4 -7 |