Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ck |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.4387550465837E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303725529,-905698842147] |
[a1,a2,a3,a4,a6] |
j |
36128658497509929012481/16775330746084419600 |
j-invariant |
L |
1.2101174684011 |
L(r)(E,1)/r! |
Ω |
0.03781617087434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110cm5 8190l5 |
Quadratic twists by: -3 -7 |