Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952g |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
14288104512 = 26 · 35 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-698,3936] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:102:1] |
Generators of the group modulo torsion |
j |
588480472000/223251633 |
j-invariant |
L |
5.8577689757243 |
L(r)(E,1)/r! |
Ω |
1.1415761654625 |
Real period |
R |
0.51312992973632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17952n1 35904t1 53856x1 |
Quadratic twists by: -4 8 -3 |