Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520bk |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4413912173798400 = -1 · 210 · 36 · 52 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23547,3485914] |
[a1,a2,a3,a4,a6] |
j |
-1934207124196/5912841025 |
j-invariant |
L |
3.0689383356414 |
L(r)(E,1)/r! |
Ω |
0.38361729346193 |
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 |
32760bk2 7280d2 |
Quadratic twists by: -4 -3 |