Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13260k |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
7344 |
Modular degree for the optimal curve |
Δ |
-7637760 = -1 · 28 · 33 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1461,21015] |
[a1,a2,a3,a4,a6] |
j |
-1348129521664/29835 |
j-invariant |
L |
2.1661742691727 |
L(r)(E,1)/r! |
Ω |
2.1661742691727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53040bm1 39780ba1 66300e1 |
Quadratic twists by: -4 -3 5 |