Atkin-Lehner |
5+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525i |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.0753239845811E+19 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3132063,2139070492] |
[a1,a2,a3,a4,a6] |
Generators |
[-1513:59194:1] [612:20944:1] |
Generators of the group modulo torsion |
j |
-217467900706855677481/688207350131875 |
j-invariant |
L |
4.4488429338769 |
L(r)(E,1)/r! |
Ω |
0.22872473062383 |
Real period |
R |
1.620886863195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11305h2 |
Quadratic twists by: 5 |