Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525cz |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3852774966796875 = 36 · 59 · 76 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-747888,248864517] |
[a1,a2,a3,a4,a6] |
j |
201333092381/16767 |
j-invariant |
L |
2.5271331140052 |
L(r)(E,1)/r! |
Ω |
0.42118885424527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525bg2 1725i2 |
Quadratic twists by: 5 -7 |