Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590y |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
7704068043571200 = 220 · 312 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-249120,-47692800] |
[a1,a2,a3,a4,a6] |
j |
1709816905432357102081/7704068043571200 |
j-invariant |
L |
6.4126331842253 |
L(r)(E,1)/r! |
Ω |
0.21375443947418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49770k1 82950h1 116130cf1 |
Quadratic twists by: -3 5 -7 |