Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680a |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-6256320 = -1 · 26 · 3 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71,285] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] |
Generators of the group modulo torsion |
j |
-627222016/97755 |
j-invariant |
L |
4.3921654226006 |
L(r)(E,1)/r! |
Ω |
2.3000185474291 |
Real period |
R |
1.9096217465749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680cp1 63840t1 |
Quadratic twists by: -4 8 |