Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bc |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1552233922560000 = 220 · 38 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29388,408688] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4536:1] |
Generators of the group modulo torsion |
j |
14688124849/8122500 |
j-invariant |
L |
5.9219529483612 |
L(r)(E,1)/r! |
Ω |
0.41310583088507 |
Real period |
R |
3.5837989357622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720dj2 1710h2 18240bn2 |
Quadratic twists by: -4 8 -3 |