Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952k |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
20142144 = 26 · 32 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-374,2904] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:68:1] |
Generators of the group modulo torsion |
j |
90639863488/314721 |
j-invariant |
L |
3.5606741706251 |
L(r)(E,1)/r! |
Ω |
2.1715326856547 |
Real period |
R |
1.6397055380042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17952t1 35904dc2 53856m1 |
Quadratic twists by: -4 8 -3 |