Atkin-Lehner |
2- 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288m |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30129249604608 = 210 · 33 · 74 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19832,1048668] |
[a1,a2,a3,a4,a6] |
j |
842452057425892/29423095317 |
j-invariant |
L |
2.6271512647605 |
L(r)(E,1)/r! |
Ω |
0.65678781659672 |
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 |
114576p3 |
Quadratic twists by: -4 |