Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960d |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3458213110008960000 = 210 · 3 · 54 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-677296,195223120] |
[a1,a2,a3,a4,a6] |
j |
18629852/1875 |
j-invariant |
L |
0.97289052210519 |
L(r)(E,1)/r! |
Ω |
0.24322285870925 |
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 |
63480f2 126960h2 |
Quadratic twists by: -4 -23 |