Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ew |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10348226150400 = 219 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17292,-861424] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:45:1] |
Generators of the group modulo torsion |
j |
2992209121/54150 |
j-invariant |
L |
6.4143493757982 |
L(r)(E,1)/r! |
Ω |
0.41678809983538 |
Real period |
R |
1.9237441575016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bu2 13680ba2 18240bv2 |
Quadratic twists by: -4 8 -3 |