Atkin-Lehner |
3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735j |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
41662636700971275 = 32 · 52 · 1112 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107708,9407531] |
[a1,a2,a3,a4,a6] |
j |
138185285742290650681/41662636700971275 |
j-invariant |
L |
4.0278842849519 |
L(r)(E,1)/r! |
Ω |
0.33565702374599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29205g4 48675g4 107085s4 |
Quadratic twists by: -3 5 -11 |