Atkin-Lehner |
2+ 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040j |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
7851532953600 = 211 · 310 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5096,36180] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:270:1] [-54:396:1] |
Generators of the group modulo torsion |
j |
7147715165138/3833756325 |
j-invariant |
L |
11.42840836369 |
L(r)(E,1)/r! |
Ω |
0.64669418327437 |
Real period |
R |
0.44180111169782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520b2 |
Quadratic twists by: -4 |