Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17052i |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
-24429330986957568 = -1 · 28 · 39 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86893,12370511] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:4698:1] |
Generators of the group modulo torsion |
j |
-49165312000/16553403 |
j-invariant |
L |
6.4377929690338 |
L(r)(E,1)/r! |
Ω |
0.35706721552668 |
Real period |
R |
1.0016466071207 |
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 |
68208ba1 51156h1 17052b1 |
Quadratic twists by: -4 -3 -7 |