Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1056d |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
55330330176 = 26 · 310 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19602,1049760] |
[a1,a2,a3,a4,a6] |
j |
13015685560572352/864536409 |
j-invariant |
L |
2.6532806719837 |
L(r)(E,1)/r! |
Ω |
1.0613122687935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1056g1 2112h2 3168z1 26400bg1 |
Quadratic twists by: -4 8 -3 5 |