Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720ba |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1276508160000 = 214 · 38 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,10928] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:200:1] [-44:216:1] |
Generators of the group modulo torsion |
j |
192143824/106875 |
j-invariant |
L |
8.3862491555726 |
L(r)(E,1)/r! |
Ω |
0.74539047696041 |
Real period |
R |
1.4063516731814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ee2 3420f2 18240u2 |
Quadratic twists by: -4 8 -3 |