Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bg |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1610256384 = 212 · 32 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-569,5049] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:99:1] [-8:95:1] |
Generators of the group modulo torsion |
j |
4982686912/393129 |
j-invariant |
L |
6.2071701180247 |
L(r)(E,1)/r! |
Ω |
1.4672366086377 |
Real period |
R |
2.1152587392799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128cf2 20064m1 120384dj2 |
Quadratic twists by: -4 8 -3 |