Atkin-Lehner |
2+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
5768d |
Isogeny class |
Conductor |
5768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
52167084032 = 211 · 74 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102408,-12648080] |
[a1,a2,a3,a4,a6] |
Generators |
[491:7462:1] |
Generators of the group modulo torsion |
j |
57996215424031250/25472209 |
j-invariant |
L |
2.6991680441873 |
L(r)(E,1)/r! |
Ω |
0.26687982340161 |
Real period |
R |
5.0568979134206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11536a2 46144h2 51912t2 40376a2 |
Quadratic twists by: -4 8 -3 -7 |