Atkin-Lehner |
2- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150m |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
2934484480000000000 = 218 · 510 · 293 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-864388,-298500219] |
[a1,a2,a3,a4,a6] |
j |
7313914640415625/300491210752 |
j-invariant |
L |
2.8254943007012 |
L(r)(E,1)/r! |
Ω |
0.15697190521489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68150i2 |
Quadratic twists by: 5 |