Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16575h |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
254478046875 = 3 · 57 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26151,-1629677] |
[a1,a2,a3,a4,a6] |
Generators |
[-3644426:2034443:39304] |
Generators of the group modulo torsion |
j |
126574061279329/16286595 |
j-invariant |
L |
7.5885243507045 |
L(r)(E,1)/r! |
Ω |
0.37543332702799 |
Real period |
R |
10.106354183813 |
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 |
49725f4 3315b3 |
Quadratic twists by: -3 5 |