Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048by |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.7710106065203E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,934260,-721545968] |
[a1,a2,a3,a4,a6] |
j |
471910376801375/1450009133568 |
j-invariant |
L |
0.7116012238032 |
L(r)(E,1)/r! |
Ω |
0.088950152985683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048q2 10512s2 14016bz2 |
Quadratic twists by: -4 8 -3 |