Atkin-Lehner |
2+ 3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110550d |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
488852100000000 = 28 · 32 · 58 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28375,-1512875] |
[a1,a2,a3,a4,a6] |
Generators |
[-930:4315:8] |
Generators of the group modulo torsion |
j |
161709379766641/31286534400 |
j-invariant |
L |
5.3008412558156 |
L(r)(E,1)/r! |
Ω |
0.37279409036399 |
Real period |
R |
3.5548050534611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22110s2 |
Quadratic twists by: 5 |