Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384s |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.4816842843651E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7747764,22484727664] |
[a1,a2,a3,a4,a6] |
j |
269144439804255023/1298611008739638 |
j-invariant |
L |
0.56668369103983 |
L(r)(E,1)/r! |
Ω |
0.07083533965484 |
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 |
120384ds5 3762i6 40128x5 |
Quadratic twists by: -4 8 -3 |