Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650c |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.5375944367432E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2911700,-1904238000] |
[a1,a2,a3,a4,a6] |
Generators |
[-56607171507:203082708284:57960603] |
Generators of the group modulo torsion |
j |
174720473725693794625/984060439515648 |
j-invariant |
L |
4.224955300756 |
L(r)(E,1)/r! |
Ω |
0.11561393066562 |
Real period |
R |
18.271826226622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706o2 |
Quadratic twists by: 5 |