Atkin-Lehner |
5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5525c |
Isogeny class |
Conductor |
5525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7452545166015625 = -1 · 516 · 132 · 172 |
Discriminant |
Eigenvalues |
1 0 5+ 2 -4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-359567,-83002534] |
[a1,a2,a3,a4,a6] |
j |
-329036324603513409/476962890625 |
j-invariant |
L |
1.5595768875727 |
L(r)(E,1)/r! |
Ω |
0.097473555473294 |
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 |
88400bh2 49725r2 1105a2 71825f2 |
Quadratic twists by: -4 -3 5 13 |