Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640r |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12573722757120 = 211 · 3 · 5 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46240,3807968] |
[a1,a2,a3,a4,a6] |
Generators |
[3621:5176:27] |
Generators of the group modulo torsion |
j |
5338959521958722/6139513065 |
j-invariant |
L |
8.9887052509721 |
L(r)(E,1)/r! |
Ω |
0.70863052292684 |
Real period |
R |
6.3423074226067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280e4 |
Quadratic twists by: -4 |