Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600bj |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
246016000000000 = 217 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-532300,-149478000] |
[a1,a2,a3,a4,a6] |
j |
8144476196418/120125 |
j-invariant |
L |
0.70700227881771 |
L(r)(E,1)/r! |
Ω |
0.17675056977601 |
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 |
49600q2 12400a2 9920x2 |
Quadratic twists by: -4 8 5 |