Atkin-Lehner |
2- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8294d |
Isogeny class |
Conductor |
8294 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
493393472 = 26 · 112 · 133 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 2 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1298,17860] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:194:1] |
Generators of the group modulo torsion |
j |
241862591022625/493393472 |
j-invariant |
L |
4.736361478711 |
L(r)(E,1)/r! |
Ω |
1.6586651533093 |
Real period |
R |
2.855526004909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66352m1 74646y1 91234i1 107822j1 |
Quadratic twists by: -4 -3 -11 13 |