Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048by |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.8740432817386E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41989260,-104933134064] |
[a1,a2,a3,a4,a6] |
j |
-42842117160045582625/98064578635272 |
j-invariant |
L |
0.7116012238032 |
L(r)(E,1)/r! |
Ω |
0.029650050995228 |
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 |
42048q4 10512s4 14016bz4 |
Quadratic twists by: -4 8 -3 |