Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496ch |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11428510449664 = 214 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6076,-82320] |
[a1,a2,a3,a4,a6] |
Generators |
[634:15840:1] |
Generators of the group modulo torsion |
j |
12869712/5929 |
j-invariant |
L |
4.4394650212334 |
L(r)(E,1)/r! |
Ω |
0.56507842027788 |
Real period |
R |
3.9281848871962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34496be2 8624f2 4928s2 |
Quadratic twists by: -4 8 -7 |