Atkin-Lehner |
2- 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dh |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
6.7544918426688E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6249443,4531894467] |
[a1,a2,a3,a4,a6] |
Generators |
[2135:29226:1] |
Generators of the group modulo torsion |
j |
37027130142709543835881/9265420909010740320 |
j-invariant |
L |
10.663822140049 |
L(r)(E,1)/r! |
Ω |
0.12484956664643 |
Real period |
R |
0.53383355860209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270l3 |
Quadratic twists by: -3 |