Atkin-Lehner |
2- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8294d |
Isogeny class |
Conductor |
8294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-267597926004838 = -1 · 2 · 113 · 132 · 296 |
Discriminant |
Eigenvalues |
2- -2 0 2 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7592,-744090] |
[a1,a2,a3,a4,a6] |
Generators |
[5253006990:-128976337967:9261000] |
Generators of the group modulo torsion |
j |
48393689661173375/267597926004838 |
j-invariant |
L |
4.736361478711 |
L(r)(E,1)/r! |
Ω |
0.27644419221821 |
Real period |
R |
17.133156029454 |
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 |
66352m4 74646y4 91234i4 107822j4 |
Quadratic twists by: -4 -3 -11 13 |