Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744bb |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1001033261568 = -1 · 29 · 34 · 176 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2216,-25828] |
[a1,a2,a3,a4,a6] |
Generators |
[623:15606:1] |
Generators of the group modulo torsion |
j |
97336/81 |
j-invariant |
L |
4.9319530008618 |
L(r)(E,1)/r! |
Ω |
0.48559385635731 |
Real period |
R |
2.5391347812032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27744f2 55488j3 83232m2 96b4 |
Quadratic twists by: -4 8 -3 17 |