Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576x |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5.6463377431415E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38548011,146820329350] |
[a1,a2,a3,a4,a6] |
j |
-4242991426585187031506/3781894171664380023 |
j-invariant |
L |
1.6677752282851 |
L(r)(E,1)/r! |
Ω |
0.069490634511878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152x2 76608bf2 3192g2 67032cf2 |
Quadratic twists by: -4 8 -3 -7 |