Atkin-Lehner |
2+ 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040c |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
235440590000000000 = 210 · 510 · 72 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166936,-11952864] |
[a1,a2,a3,a4,a6] |
j |
502430929003900516/229922451171875 |
j-invariant |
L |
3.9469223934165 |
L(r)(E,1)/r! |
Ω |
0.24668263588453 |
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 |
58520c2 |
Quadratic twists by: -4 |