Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6633f |
Isogeny class |
Conductor |
6633 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23381644398849 = 316 · 112 · 672 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8861,-219004] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:255:1] |
Generators of the group modulo torsion |
j |
105535468883593/32073586281 |
j-invariant |
L |
1.6844285910005 |
L(r)(E,1)/r! |
Ω |
0.50369062664164 |
Real period |
R |
3.3441729941083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106128bk2 2211e2 72963j2 |
Quadratic twists by: -4 -3 -11 |