Atkin-Lehner |
3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6633a |
Isogeny class |
Conductor |
6633 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
26866139504193 = 33 · 11 · 676 |
Discriminant |
Eigenvalues |
-1 3+ 2 -2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18974,-969804] |
[a1,a2,a3,a4,a6] |
j |
27977904161173539/995042203859 |
j-invariant |
L |
1.2230134170393 |
L(r)(E,1)/r! |
Ω |
0.40767113901309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128w2 6633b2 72963a2 |
Quadratic twists by: -4 -3 -11 |