Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
56560j |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52412966502400 = 222 · 52 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86203,9735402] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:4410:1] |
Generators of the group modulo torsion |
j |
17295411715760529/12796134400 |
j-invariant |
L |
5.3805890536695 |
L(r)(E,1)/r! |
Ω |
0.62600523568928 |
Real period |
R |
4.2975591471287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000178 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7070e2 |
Quadratic twists by: -4 |