Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320x |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
28675431972000000 = 28 · 33 · 56 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2745087,-1750562334] |
[a1,a2,a3,a4,a6] |
j |
330969765261701976048/4148644671875 |
j-invariant |
L |
2.814959131005 |
L(r)(E,1)/r! |
Ω |
0.11728996401341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67320c2 |
Quadratic twists by: -3 |