Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744d |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
203751936 = 29 · 34 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232,-1100] |
[a1,a2,a3,a4,a6] |
Generators |
[25:90:1] |
Generators of the group modulo torsion |
j |
551368/81 |
j-invariant |
L |
5.9376730204168 |
L(r)(E,1)/r! |
Ω |
1.2348539611856 |
Real period |
R |
2.4042004994323 |
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 |
27744k2 55488dv2 83232bo2 27744l2 |
Quadratic twists by: -4 8 -3 17 |