Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ee |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
573906124800 = 215 · 36 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9228,-339248] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:40:1] |
Generators of the group modulo torsion |
j |
3638052872/24025 |
j-invariant |
L |
4.4852317029778 |
L(r)(E,1)/r! |
Ω |
0.48729893466194 |
Real period |
R |
1.1505339403216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ep2 44640s2 9920bd2 |
Quadratic twists by: -4 8 -3 |