Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960el |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
91371110400000000 = 221 · 38 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3767628,-2814779248] |
[a1,a2,a3,a4,a6] |
Generators |
[-15261833166272:2360736137500:13600574603] |
Generators of the group modulo torsion |
j |
30949975477232209/478125000 |
j-invariant |
L |
7.2187079308177 |
L(r)(E,1)/r! |
Ω |
0.10836348242053 |
Real period |
R |
16.653921989097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bt4 12240cc3 16320ch3 |
Quadratic twists by: -4 8 -3 |