Atkin-Lehner |
2- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
54752d |
Isogeny class |
Conductor |
54752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
170924355584 = 212 · 294 · 59 |
Discriminant |
Eigenvalues |
2- 0 -2 4 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1436,-6560] |
[a1,a2,a3,a4,a6] |
Generators |
[1461:55825:1] |
Generators of the group modulo torsion |
j |
79951586112/41729579 |
j-invariant |
L |
3.9220879979265 |
L(r)(E,1)/r! |
Ω |
0.82150059836254 |
Real period |
R |
4.7742971893489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000295 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54752b3 109504c1 |
Quadratic twists by: -4 8 |