Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504k |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
894321072475734016 = 220 · 318 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272364,-550537680] |
[a1,a2,a3,a4,a6] |
j |
979146657/3844 |
j-invariant |
L |
2.2749363459732 |
L(r)(E,1)/r! |
Ω |
0.14218352126846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61504bm2 1922d2 1984b2 |
Quadratic twists by: -4 8 -31 |