Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960m |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3351600000000 = 210 · 32 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178960,29199100] |
[a1,a2,a3,a4,a6] |
j |
619004912314743364/3273046875 |
j-invariant |
L |
2.816213852601 |
L(r)(E,1)/r! |
Ω |
0.70405346315026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920n4 127680cq4 47880m4 79800j4 |
Quadratic twists by: -4 8 -3 5 |