Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080r |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1256910054400 = 210 · 52 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2707,-5406] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:210:1] |
Generators of the group modulo torsion |
j |
2142340622244/1227451225 |
j-invariant |
L |
7.0879323877709 |
L(r)(E,1)/r! |
Ω |
0.71793331886989 |
Real period |
R |
1.2340861261439 |
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 |
40040o2 |
Quadratic twists by: -4 |