Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cs |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-338076548333568 = -1 · 217 · 310 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21036,-1470256] |
[a1,a2,a3,a4,a6] |
Generators |
[205:1683:1] |
Generators of the group modulo torsion |
j |
-10773969554/3538161 |
j-invariant |
L |
5.276266945372 |
L(r)(E,1)/r! |
Ω |
0.1949582725705 |
Real period |
R |
3.3829463183263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999659136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384bx2 30096j2 40128bn2 |
Quadratic twists by: -4 8 -3 |