Atkin-Lehner |
3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6699b |
Isogeny class |
Conductor |
6699 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44876601 = 32 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94,-185] |
[a1,a2,a3,a4,a6] |
j |
93391282153/44876601 |
j-invariant |
L |
1.6060661064097 |
L(r)(E,1)/r! |
Ω |
1.6060661064097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107184co2 20097g2 46893n2 73689r2 |
Quadratic twists by: -4 -3 -7 -11 |