Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cf |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2338092269568 = 214 · 33 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22620,-1307376] |
[a1,a2,a3,a4,a6] |
Generators |
[213:1881:1] |
Generators of the group modulo torsion |
j |
2893462182000/5285401 |
j-invariant |
L |
5.8655138201201 |
L(r)(E,1)/r! |
Ω |
0.38933554796318 |
Real period |
R |
1.8831807952789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384c2 30096m2 120384by2 |
Quadratic twists by: -4 8 -3 |