Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120516k |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2783748301449984 = 28 · 34 · 117 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-571644,-166526604] |
[a1,a2,a3,a4,a6] |
Generators |
[160644:7631673:64] |
Generators of the group modulo torsion |
j |
45551779131472/6138099 |
j-invariant |
L |
6.9014920366224 |
L(r)(E,1)/r! |
Ω |
0.17362873077454 |
Real period |
R |
9.9371400060532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10956c2 |
Quadratic twists by: -11 |