Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275s |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4088616943359375 = -1 · 32 · 514 · 74 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21249,2837773] |
[a1,a2,a3,a4,a6] |
j |
67912318202399/261671484375 |
j-invariant |
L |
2.5017116621566 |
L(r)(E,1)/r! |
Ω |
0.31271395776958 |
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 |
48825bk3 3255c4 113925m3 |
Quadratic twists by: -3 5 -7 |