Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720i |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-663896217600 = -1 · 211 · 37 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-39202] |
[a1,a2,a3,a4,a6] |
j |
-2/444675 |
j-invariant |
L |
1.6663181510997 |
L(r)(E,1)/r! |
Ω |
0.41657953777491 |
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 |
55440e2 9240v2 |
Quadratic twists by: -4 -3 |