Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384n |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.0903064631385E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15151380,-44817030992] |
[a1,a2,a3,a4,a6] |
j |
2012856588372458375/5705334819790848 |
j-invariant |
L |
0.71627973463209 |
L(r)(E,1)/r! |
Ω |
0.044767504421655 |
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 |
120384dq2 3762q2 40128w2 |
Quadratic twists by: -4 8 -3 |