Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064bb |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4202696802304 = 222 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6796,191760] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:429:1] |
Generators of the group modulo torsion |
j |
132417047673/16032016 |
j-invariant |
L |
3.6397208448774 |
L(r)(E,1)/r! |
Ω |
0.75250129379602 |
Real period |
R |
2.4184150078448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000548 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64064k2 16016g2 |
Quadratic twists by: -4 8 |