Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bi |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-33655095296 = -1 · 225 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ -3 -2 4 2 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1996,35440] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:256:1] |
Generators of the group modulo torsion |
j |
-3354790473/128384 |
j-invariant |
L |
3.4115974246183 |
L(r)(E,1)/r! |
Ω |
1.1567765982048 |
Real period |
R |
0.73730689006813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cl1 2006f1 |
Quadratic twists by: -4 8 |