Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880dj |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
1556006760000 = 26 · 38 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17337,876584] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1260:1] [-17:1080:1] |
Generators of the group modulo torsion |
j |
12352022024896/33350625 |
j-invariant |
L |
12.224204173569 |
L(r)(E,1)/r! |
Ω |
0.84906880200871 |
Real period |
R |
1.7996486483091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998951 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880dw1 36960f1 |
Quadratic twists by: -4 -3 |