Atkin-Lehner |
3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
17061c |
Isogeny class |
Conductor |
17061 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35220404241 = 32 · 116 · 472 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5690,-165409] |
[a1,a2,a3,a4,a6] |
Generators |
[117147690:12228856951:10648] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
8.2148679671597 |
L(r)(E,1)/r! |
Ω |
0.54976329381035 |
Real period |
R |
14.942554476897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51183i2 141c2 |
Quadratic twists by: -3 -11 |