Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688de |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2873001557064941568 = 230 · 32 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7672781048,-258691176086316] |
[a1,a2,a3,a4,a6] |
Generators |
[-280439059836:11086642:5545233] |
Generators of the group modulo torsion |
j |
103665426767620308239307625/5961940992 |
j-invariant |
L |
6.7831575259989 |
L(r)(E,1)/r! |
Ω |
0.016131002308833 |
Real period |
R |
11.680677913351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999999934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586a6 6384q6 |
Quadratic twists by: -4 -7 |