Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040br |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-45011865600 = -1 · 212 · 32 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,400,9600] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-102:1] |
Generators of the group modulo torsion |
j |
1723683599/10989225 |
j-invariant |
L |
5.8318706791965 |
L(r)(E,1)/r! |
Ω |
0.82445941897313 |
Real period |
R |
0.88419613885767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3315f2 |
Quadratic twists by: -4 |