Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13260k |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1036210656000 = -1 · 28 · 3 · 53 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-501,48999] |
[a1,a2,a3,a4,a6] |
j |
-54433153024/4047697875 |
j-invariant |
L |
2.1661742691727 |
L(r)(E,1)/r! |
Ω |
0.72205808972423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53040bm2 39780ba2 66300e2 |
Quadratic twists by: -4 -3 5 |