Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496bb |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-66469046213326848 = -1 · 211 · 3 · 72 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38096,-12056800] |
[a1,a2,a3,a4,a6] |
Generators |
[1075:35670:1] [5925:71020:27] |
Generators of the group modulo torsion |
j |
2985523499675806/32455588971351 |
j-invariant |
L |
9.3182862434672 |
L(r)(E,1)/r! |
Ω |
0.17143127080499 |
Real period |
R |
54.355813847212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992k5 124488o5 |
Quadratic twists by: -4 -3 |