Atkin-Lehner |
2+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4466a |
Isogeny class |
Conductor |
4466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
100387866350817584 = 24 · 714 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11- 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-772262,-260832120] |
[a1,a2,a3,a4,a6] |
j |
50935069139198569148377/100387866350817584 |
j-invariant |
L |
0.3221364531159 |
L(r)(E,1)/r! |
Ω |
0.16106822655795 |
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 |
35728x2 40194bl2 111650t2 31262e2 |
Quadratic twists by: -4 -3 5 -7 |