Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20976j |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-9.6051709599815E+18 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,531376,2656980] |
[a1,a2,a3,a4,a6] |
j |
4051060719646926383/2345012441401743 |
j-invariant |
L |
1.6517011024137 |
L(r)(E,1)/r! |
Ω |
0.13764175853448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1311a6 83904t5 62928bp5 |
Quadratic twists by: -4 8 -3 |