Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496bb |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
10476149209344 = 28 · 34 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7924,219776] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:378:1] [-82:570:1] |
Generators of the group modulo torsion |
j |
214967078254672/40922457849 |
j-invariant |
L |
9.3182862434672 |
L(r)(E,1)/r! |
Ω |
0.68572508321995 |
Real period |
R |
3.3972383654507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
82992k2 124488o2 |
Quadratic twists by: -4 -3 |