Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350dd |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3394345640625000000 = 26 · 32 · 512 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2409688,-1437227008] |
[a1,a2,a3,a4,a6] |
Generators |
[-6328672:-3135664:6859] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
9.1720716534675 |
L(r)(E,1)/r! |
Ω |
0.12118994507695 |
Real period |
R |
6.3069531384757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8670e6 150c6 |
Quadratic twists by: 5 17 |