Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448s |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
6.4748291866724E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9722199,11006962490] |
[a1,a2,a3,a4,a6] |
Generators |
[13:104310:1] |
Generators of the group modulo torsion |
j |
544565015123886605392/34694515103482989 |
j-invariant |
L |
9.374575154946 |
L(r)(E,1)/r! |
Ω |
0.13131392356562 |
Real period |
R |
0.74365171551974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27816g2 |
Quadratic twists by: -3 |