Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960n |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-216276978355200 = -1 · 210 · 33 · 52 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8504,-637120] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1176:1] |
Generators of the group modulo torsion |
j |
66411370031324/211207986675 |
j-invariant |
L |
4.9750563176108 |
L(r)(E,1)/r! |
Ω |
0.2867721075495 |
Real period |
R |
1.4457055465062 |
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 |
31920g3 127680be3 47880o3 79800d3 |
Quadratic twists by: -4 8 -3 5 |