Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4774c |
Isogeny class |
Conductor |
4774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
175217792288 = 25 · 72 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20511,1128722] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-2:1] |
Generators of the group modulo torsion |
j |
954231564802587625/175217792288 |
j-invariant |
L |
2.0706612207081 |
L(r)(E,1)/r! |
Ω |
0.98480243433712 |
Real period |
R |
1.0513079316776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38192o2 42966bd2 119350bk2 33418t2 |
Quadratic twists by: -4 -3 5 -7 |