Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bf |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1061964733423104 = -1 · 29 · 32 · 77 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24288,571320] |
[a1,a2,a3,a4,a6] |
Generators |
[593224:20369525:512] |
Generators of the group modulo torsion |
j |
26304066424/17629983 |
j-invariant |
L |
6.9670805585317 |
L(r)(E,1)/r! |
Ω |
0.30879350809239 |
Real period |
R |
11.281131858668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192ce2 15456t4 |
Quadratic twists by: -4 -7 |