Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315w |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-218168893845 = -1 · 32 · 5 · 78 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,685,-21330] |
[a1,a2,a3,a4,a6] |
Generators |
[27:117:1] |
Generators of the group modulo torsion |
j |
302111711/1854405 |
j-invariant |
L |
4.4202935017566 |
L(r)(E,1)/r! |
Ω |
0.49847191432475 |
Real period |
R |
2.216922044517 |
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 |
63945j2 106575n2 3045c2 |
Quadratic twists by: -3 5 -7 |