Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dz |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-778714050723840000 = -1 · 224 · 39 · 54 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,228813,5274866] |
[a1,a2,a3,a4,a6] |
j |
443688652450511/260789760000 |
j-invariant |
L |
1.3771797771441 |
L(r)(E,1)/r! |
Ω |
0.1721474720327 |
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 |
6930o1 18480bm1 |
Quadratic twists by: -4 -3 |