Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17544c |
Isogeny class |
Conductor |
17544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
561408 = 28 · 3 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-732,-7872] |
[a1,a2,a3,a4,a6] |
Generators |
[-46051645200:35648704:2893640625] |
Generators of the group modulo torsion |
j |
169671989968/2193 |
j-invariant |
L |
6.6641903044476 |
L(r)(E,1)/r! |
Ω |
0.91774640281345 |
Real period |
R |
14.522945083779 |
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 |
35088d1 52632m1 |
Quadratic twists by: -4 -3 |