Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272bc |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2376553140009216 = 28 · 36 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-580372,169970240] |
[a1,a2,a3,a4,a6] |
j |
717820092230992/78907689 |
j-invariant |
L |
5.293354226081 |
L(r)(E,1)/r! |
Ω |
0.44111285211209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110544q2 7896e2 |
Quadratic twists by: -4 -7 |