Atkin-Lehner |
2- 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bj |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-8288821352448 = -1 · 211 · 36 · 7 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -3 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4107,-171610] |
[a1,a2,a3,a4,a6] |
j |
-5131452818/5551819 |
j-invariant |
L |
0.57196350303351 |
L(r)(E,1)/r! |
Ω |
0.28598167273455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13832a1 |
Quadratic twists by: -3 |