Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220m |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-216972000000 = -1 · 28 · 33 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,595,21903] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:105:1] |
Generators of the group modulo torsion |
j |
90845732864/847546875 |
j-invariant |
L |
6.3764250914147 |
L(r)(E,1)/r! |
Ω |
0.73149400249187 |
Real period |
R |
0.72641574067286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68880bo1 51660j1 86100e1 120540i1 |
Quadratic twists by: -4 -3 5 -7 |