Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920u |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.4025282624143E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,692944,-79732800] |
[a1,a2,a3,a4,a6] |
j |
8983747840943130191/5865547515660000 |
j-invariant |
L |
0.97308238627299 |
L(r)(E,1)/r! |
Ω |
0.12163529828494 |
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 |
3990y4 127680ge3 95760eq3 |
Quadratic twists by: -4 8 -3 |