Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186o |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
667355787297584 = 24 · 72 · 119 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109891,-13938669] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:224:1] |
Generators of the group modulo torsion |
j |
62240377347/283024 |
j-invariant |
L |
6.6399749037777 |
L(r)(E,1)/r! |
Ω |
0.26228784564814 |
Real period |
R |
3.1644503424136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32186f2 |
Quadratic twists by: -11 |