Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968a |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
196436492288 = 216 · 194 · 23 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2444,41328] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1456:1] |
Generators of the group modulo torsion |
j |
24634706148/2997383 |
j-invariant |
L |
6.251975296863 |
L(r)(E,1)/r! |
Ω |
0.97117360910024 |
Real period |
R |
3.2187732647798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27968ca4 3496d3 |
Quadratic twists by: -4 8 |