Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504k |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14424533427027968 = 219 · 317 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20338604,-35304479952] |
[a1,a2,a3,a4,a6] |
j |
3999236143617/62 |
j-invariant |
L |
2.2749363459732 |
L(r)(E,1)/r! |
Ω |
0.07109176063423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504bm4 1922d3 1984b4 |
Quadratic twists by: -4 8 -31 |