Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54684j |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5275951198371124992 = 28 · 312 · 79 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-929775,326901638] |
[a1,a2,a3,a4,a6] |
j |
4048569250000/240295167 |
j-invariant |
L |
1.9031427987527 |
L(r)(E,1)/r! |
Ω |
0.23789284971477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228a2 7812j2 |
Quadratic twists by: -3 -7 |