Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086f |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.9817479742205E+28 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2827046916,-58646330705880] |
[a1,a2,a3,a4,a6] |
Generators |
[4244017997575595832630288757188702161532377270579142572770356903189915740074179884215899361365:-748932464890009159938328482842008777331723765717876386433203826073995912479710760094406819145605:54881569771587150834825129811958965507141660835045252177279735696484274205972663501324377] |
Generators of the group modulo torsion |
j |
-3862113817658457666817/61542633506345208 |
j-invariant |
L |
5.8876899344987 |
L(r)(E,1)/r! |
Ω |
0.010342492224225 |
Real period |
R |
142.31796860112 |
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 |
40362bd5 3906h6 |
Quadratic twists by: -3 -31 |