Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560f |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1598400000000 = -1 · 212 · 33 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1908,68768] |
[a1,a2,a3,a4,a6] |
j |
-6946005312/14453125 |
j-invariant |
L |
3.0042384890073 |
L(r)(E,1)/r! |
Ω |
0.75105963377351 |
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 |
106560g2 53280z1 106560t2 |
Quadratic twists by: -4 8 -3 |