Atkin-Lehner |
2+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
117056i |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.7459081865808E+25 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28821953,-209660572735] |
[a1,a2,a3,a4,a6] |
Generators |
[31081479243:2559636833968:2803221] |
Generators of the group modulo torsion |
j |
-10100759302698979344625/66601111853819171032 |
j-invariant |
L |
9.3679665318496 |
L(r)(E,1)/r! |
Ω |
0.029001456314516 |
Real period |
R |
8.9726974304089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117056m3 3658d3 |
Quadratic twists by: -4 8 |