Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680cq |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43473131412480 = 210 · 38 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58816,-5500720] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:36:1] [584:12636:1] |
Generators of the group modulo torsion |
j |
186779563204/360855 |
j-invariant |
L |
11.353072762338 |
L(r)(E,1)/r! |
Ω |
0.30660234535692 |
Real period |
R |
4.6285819948375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bb4 1320i4 |
Quadratic twists by: -4 -7 |