Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288o |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
108700718708736 = 211 · 33 · 78 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-393632,-94924500] |
[a1,a2,a3,a4,a6] |
j |
3293563594875188546/53076522807 |
j-invariant |
L |
1.5248154044934 |
L(r)(E,1)/r! |
Ω |
0.19060192541416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576m4 |
Quadratic twists by: -4 |