Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968a |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3128836096 = 214 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604,-5040] |
[a1,a2,a3,a4,a6] |
Generators |
[12754:53040:343] |
Generators of the group modulo torsion |
j |
1487354832/190969 |
j-invariant |
L |
6.251975296863 |
L(r)(E,1)/r! |
Ω |
0.97117360910024 |
Real period |
R |
6.4375465295595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27968ca2 3496d2 |
Quadratic twists by: -4 8 |