Atkin-Lehner |
2- 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56760t |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4565947057562880000 = -1 · 211 · 32 · 54 · 118 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-602896,-207649696] |
[a1,a2,a3,a4,a6] |
j |
-11833730858203573538/2229466336700625 |
j-invariant |
L |
3.0528171475542 |
L(r)(E,1)/r! |
Ω |
0.084800476257349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520e2 |
Quadratic twists by: -4 |