Atkin-Lehner |
3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6699a |
Isogeny class |
Conductor |
6699 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3635004681 = 36 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-759,7200] |
[a1,a2,a3,a4,a6] |
Generators |
[1200:40980:1] |
Generators of the group modulo torsion |
j |
48455467135993/3635004681 |
j-invariant |
L |
4.4943068084607 |
L(r)(E,1)/r! |
Ω |
1.372683261954 |
Real period |
R |
3.274103307753 |
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 |
107184cv2 20097j2 46893i2 73689s2 |
Quadratic twists by: -4 -3 -7 -11 |