Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bn |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1179697781145600 = 220 · 38 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-412496,-101820480] |
[a1,a2,a3,a4,a6] |
j |
276288773643091/41990400 |
j-invariant |
L |
0.75354374267568 |
L(r)(E,1)/r! |
Ω |
0.18838594245738 |
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 |
10830bb2 86640cv2 |
Quadratic twists by: -4 -19 |