Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720by |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
707236580966400 = 214 · 314 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74172,7669136] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:3024:1] |
Generators of the group modulo torsion |
j |
3778298043856/59213025 |
j-invariant |
L |
7.7386983211908 |
L(r)(E,1)/r! |
Ω |
0.50933994101295 |
Real period |
R |
3.7983955792703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720fd2 6840t2 18240e2 |
Quadratic twists by: -4 8 -3 |