Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168p |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103381616590848 = 215 · 34 · 794 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11777,48063] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:420:1] |
Generators of the group modulo torsion |
j |
5513338764296/3154956561 |
j-invariant |
L |
6.6023377736055 |
L(r)(E,1)/r! |
Ω |
0.51083501790366 |
Real period |
R |
3.2311497558938 |
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 |
15168h3 7584a2 45504bl4 |
Quadratic twists by: -4 8 -3 |