Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048p |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 -2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,26] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [10:34:1] |
Generators of the group modulo torsion |
j |
131072/17051 |
j-invariant |
L |
6.653088110449 |
L(r)(E,1)/r! |
Ω |
2.3796379989434 |
Real period |
R |
1.3979202116883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4012b1 64192bv1 |
Quadratic twists by: -4 8 |