Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880ba |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1126349313868800 = 210 · 39 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30243,1220942] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:1440:1] |
Generators of the group modulo torsion |
j |
4097989445764/1508848425 |
j-invariant |
L |
4.2101526742001 |
L(r)(E,1)/r! |
Ω |
0.44719093868573 |
Real period |
R |
2.3536661356396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bd1 15960a1 |
Quadratic twists by: -4 -3 |