Atkin-Lehner |
3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3939c |
Isogeny class |
Conductor |
3939 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12175066917 = 32 · 13 · 1014 |
Discriminant |
Eigenvalues |
1 3- -2 0 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-837,-7721] |
[a1,a2,a3,a4,a6] |
j |
64737212661577/12175066917 |
j-invariant |
L |
1.7985722286105 |
L(r)(E,1)/r! |
Ω |
0.89928611430525 |
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 |
63024m4 11817b3 98475g4 51207d4 |
Quadratic twists by: -4 -3 5 13 |