Atkin-Lehner |
3- 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15351d |
Isogeny class |
Conductor |
15351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
75419463 = 3 · 7 · 174 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4822,-129283] |
[a1,a2,a3,a4,a6] |
j |
12399693758800993/75419463 |
j-invariant |
L |
1.1458359350874 |
L(r)(E,1)/r! |
Ω |
0.57291796754369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46053b4 107457f4 |
Quadratic twists by: -3 -7 |