Atkin-Lehner |
3- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835p |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
416346059068857225 = 312 · 52 · 72 · 116 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-386033,-86844648] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:1668:1] |
Generators of the group modulo torsion |
j |
8727069302719717321/571119422591025 |
j-invariant |
L |
3.1435620303902 |
L(r)(E,1)/r! |
Ω |
0.19231988992874 |
Real period |
R |
4.0863714509108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993691 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945o2 |
Quadratic twists by: -3 |