Atkin-Lehner |
2- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874w |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
896504588 = 22 · 74 · 173 · 19 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6908,-221564] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:26:1] |
Generators of the group modulo torsion |
j |
7420580212625/182476 |
j-invariant |
L |
6.8236134641828 |
L(r)(E,1)/r! |
Ω |
0.52367493297752 |
Real period |
R |
1.6287808132306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999991524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76874bf2 |
Quadratic twists by: 17 |