Atkin-Lehner |
2+ 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520l |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
4546923577574400 = 210 · 38 · 52 · 114 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131296,17978180] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:5676:1] |
Generators of the group modulo torsion |
j |
244445219896217476/4440355056225 |
j-invariant |
L |
8.5466578953689 |
L(r)(E,1)/r! |
Ω |
0.43566740551886 |
Real period |
R |
0.61304347289767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56760d2 |
Quadratic twists by: -4 |