Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960v |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9696000000000000 = -1 · 217 · 3 · 512 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30879,4262655] |
[a1,a2,a3,a4,a6] |
Generators |
[1661:68124:1] [-2013:33632:27] |
Generators of the group modulo torsion |
j |
24842162817358/73974609375 |
j-invariant |
L |
12.891470158997 |
L(r)(E,1)/r! |
Ω |
0.28786565362791 |
Real period |
R |
44.782939532623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960bs3 12120d4 |
Quadratic twists by: -4 8 |