Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fk |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
332760147148800 = 214 · 38 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180881,29536719] |
[a1,a2,a3,a4,a6] |
Generators |
[754:-17955:1] [187:1512:1] |
Generators of the group modulo torsion |
j |
39947078668956496/20310067575 |
j-invariant |
L |
13.475263080651 |
L(r)(E,1)/r! |
Ω |
0.53394923732876 |
Real period |
R |
0.2628851470382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680h2 31920bi2 |
Quadratic twists by: -4 8 |