Atkin-Lehner |
2+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610b |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29779940410000 = -1 · 24 · 54 · 116 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7741,-13554] |
[a1,a2,a3,a4,a6] |
j |
28962726911/16810000 |
j-invariant |
L |
1.569682263399 |
L(r)(E,1)/r! |
Ω |
0.39242056558762 |
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 |
410d2 |
Quadratic twists by: -11 |