Atkin-Lehner |
3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6699d |
Isogeny class |
Conductor |
6699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1627857 = 36 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8681904,9842626320] |
[a1,a2,a3,a4,a6] |
Generators |
[108948:-47361:64] |
Generators of the group modulo torsion |
j |
72371679832051361738355457/1627857 |
j-invariant |
L |
1.6479495133507 |
L(r)(E,1)/r! |
Ω |
0.63328460023285 |
Real period |
R |
5.20445156173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184ct4 20097f3 46893r4 73689m4 |
Quadratic twists by: -4 -3 -7 -11 |