Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cj |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-145321869312 = -1 · 214 · 36 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-337,-18383] |
[a1,a2,a3,a4,a6] |
Generators |
[4287:53360:27] |
Generators of the group modulo torsion |
j |
-21296/729 |
j-invariant |
L |
7.9359375477292 |
L(r)(E,1)/r! |
Ω |
0.44938289854806 |
Real period |
R |
4.4149085066014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bc2 25392p2 101568cs2 |
Quadratic twists by: -4 8 -23 |