Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bl |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7698283097063424 = 215 · 3 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51489,-1567329] |
[a1,a2,a3,a4,a6] |
Generators |
[85190:347607:343] |
Generators of the group modulo torsion |
j |
3112136/1587 |
j-invariant |
L |
6.5401838194842 |
L(r)(E,1)/r! |
Ω |
0.33464067767418 |
Real period |
R |
9.7719498282806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568m2 50784u2 4416l2 |
Quadratic twists by: -4 8 -23 |