Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568n |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.6289567033386E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-643969,43294849] |
[a1,a2,a3,a4,a6] |
j |
1522096994/839523 |
j-invariant |
L |
1.528952262596 |
L(r)(E,1)/r! |
Ω |
0.19111901210455 |
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 |
101568dq3 12696q4 4416e3 |
Quadratic twists by: -4 8 -23 |