Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480ba |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36454400000000 = 220 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122348,16469328] |
[a1,a2,a3,a4,a6] |
Generators |
[186:384:1] |
Generators of the group modulo torsion |
j |
772635063744081/139062500 |
j-invariant |
L |
2.4709521625276 |
L(r)(E,1)/r! |
Ω |
0.6309629882175 |
Real period |
R |
1.9580801161635 |
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 |
28480d4 7120o3 |
Quadratic twists by: -4 8 |