Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080r |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11937685760000 = 211 · 54 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28187,1813866] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1870:1] |
Generators of the group modulo torsion |
j |
1209317468500962/5828948125 |
j-invariant |
L |
7.0879323877709 |
L(r)(E,1)/r! |
Ω |
0.71793331886989 |
Real period |
R |
2.4681722522878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001779 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40040o3 |
Quadratic twists by: -4 |