Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144ca |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2508794892785664 = 211 · 39 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504651,-137964890] |
[a1,a2,a3,a4,a6] |
Generators |
[241045766:79840841634:2197] |
Generators of the group modulo torsion |
j |
80919167474/14283 |
j-invariant |
L |
5.6032710643 |
L(r)(E,1)/r! |
Ω |
0.17912506874267 |
Real period |
R |
15.640666888348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048g2 1656h2 |
Quadratic twists by: -3 -7 |