Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675w |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1156680 |
Modular degree for the optimal curve |
Δ |
1.5500315602554E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 2 4 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6307576,1138523423] |
[a1,a2,a3,a4,a6] |
Generators |
[-6595:4797706:125] |
Generators of the group modulo torsion |
j |
35242105/19683 |
j-invariant |
L |
8.363703451556 |
L(r)(E,1)/r! |
Ω |
0.10751173573611 |
Real period |
R |
8.6437110994771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025cf1 21675e1 21675m1 |
Quadratic twists by: -3 5 17 |