Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568n |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1338831842967552 = 217 · 3 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6230209,-5983445567] |
[a1,a2,a3,a4,a6] |
j |
1378334691074/69 |
j-invariant |
L |
1.528952262596 |
L(r)(E,1)/r! |
Ω |
0.095559506052274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568dq4 12696q3 4416e4 |
Quadratic twists by: -4 8 -23 |