Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64416f |
Isogeny class |
Conductor |
64416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2761439712768 = 29 · 32 · 115 · 612 |
Discriminant |
Eigenvalues |
2- 3- 4 4 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1717816,-867161668] |
[a1,a2,a3,a4,a6] |
j |
1094923897084507022792/5393436939 |
j-invariant |
L |
6.4617693677566 |
L(r)(E,1)/r! |
Ω |
0.13187284414503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64416b2 128832h2 |
Quadratic twists by: -4 8 |