Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552k |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3416007168 = 29 · 34 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-768,7956] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:82:1] [-15:126:1] |
Generators of the group modulo torsion |
j |
97972181000/6671889 |
j-invariant |
L |
6.777535595339 |
L(r)(E,1)/r! |
Ω |
1.3829489372602 |
Real period |
R |
1.2251962839578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27552y2 55104ct2 82656l2 |
Quadratic twists by: -4 8 -3 |