Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160k |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
433664000000 = 215 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4320,-103168] |
[a1,a2,a3,a4,a6] |
j |
2177286259681/105875000 |
j-invariant |
L |
3.5438841099737 |
L(r)(E,1)/r! |
Ω |
0.59064735166228 |
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 |
770g2 24640bc2 55440cp2 30800bz2 |
Quadratic twists by: -4 8 -3 5 |