Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cr |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
23005740662784 = 224 · 38 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21036,1151440] |
[a1,a2,a3,a4,a6] |
Generators |
[754:621:8] |
Generators of the group modulo torsion |
j |
5386984777/120384 |
j-invariant |
L |
6.1697783719099 |
L(r)(E,1)/r! |
Ω |
0.67550133439985 |
Real period |
R |
4.5668143590166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384bw1 30096bl1 40128ca1 |
Quadratic twists by: -4 8 -3 |