Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272bc |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-7224923805469719552 = -1 · 210 · 312 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-534312,198122112] |
[a1,a2,a3,a4,a6] |
j |
-140030007564388/59971522527 |
j-invariant |
L |
5.293354226081 |
L(r)(E,1)/r! |
Ω |
0.22055642605604 |
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 |
110544q3 7896e4 |
Quadratic twists by: -4 -7 |