Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162z |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
Δ |
2.4685753385073E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11691838,15384818756] |
[a1,a2,a3,a4,a6] |
Generators |
[2012:1586:1] |
Generators of the group modulo torsion |
j |
25769813722208652671875/3599030964436992 |
j-invariant |
L |
8.8765435568738 |
L(r)(E,1)/r! |
Ω |
0.20510120382851 |
Real period |
R |
0.28103147202708 |
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 |
121296bx2 45486d2 106134bs2 15162a2 |
Quadratic twists by: -4 -3 -7 -19 |