Atkin-Lehner |
2+ 3- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850bc |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2703800201416E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71248251,-231477425102] |
[a1,a2,a3,a4,a6] |
Generators |
[-3201084786:258061831:658503] |
Generators of the group modulo torsion |
j |
2559919453233976463202721/81304321289062500 |
j-invariant |
L |
6.4816703541806 |
L(r)(E,1)/r! |
Ω |
0.051964509357769 |
Real period |
R |
15.591579825756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370n6 |
Quadratic twists by: 5 |