Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600x |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1641024480000000 = -1 · 211 · 3 · 57 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,-1948812] |
[a1,a2,a3,a4,a6] |
j |
715822/51282015 |
j-invariant |
L |
1.7451680565885 |
L(r)(E,1)/r! |
Ω |
0.21814600708011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800w3 10320c4 |
Quadratic twists by: -4 5 |