Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bc |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3505177653122433024 = 224 · 314 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399756,36746480] |
[a1,a2,a3,a4,a6] |
Generators |
[1108:30888:1] |
Generators of the group modulo torsion |
j |
36969300595297/18341826624 |
j-invariant |
L |
3.7251011321785 |
L(r)(E,1)/r! |
Ω |
0.22176072920934 |
Real period |
R |
4.1994598720393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950154 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120384dk2 3762h2 40128m2 |
Quadratic twists by: -4 8 -3 |