Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bx |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
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 |
[-115:1539:1] [-106:1584:1] |
Generators of the group modulo torsion |
j |
-10773969554/3538161 |
j-invariant |
L |
9.6563964393929 |
L(r)(E,1)/r! |
Ω |
0.51049983977675 |
Real period |
R |
1.1822232457073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384cs2 15048d2 40128u2 |
Quadratic twists by: -4 8 -3 |