Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gm |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
62626463907840000 = 218 · 32 · 54 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187265,-28836225] |
[a1,a2,a3,a4,a6] |
j |
2770485962938849/238901000625 |
j-invariant |
L |
5.5383087490366 |
L(r)(E,1)/r! |
Ω |
0.23076290067044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680t2 31920w2 |
Quadratic twists by: -4 8 |