Atkin-Lehner |
13+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123539k |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71136 |
Modular degree for the optimal curve |
Δ |
-354927547 = -1 · 134 · 172 · 43 |
Discriminant |
Eigenvalues |
-2 -2 2 -2 -1 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-732,-7926] |
[a1,a2,a3,a4,a6] |
j |
-1520816128/12427 |
j-invariant |
L |
0.91729982013941 |
L(r)(E,1)/r! |
Ω |
0.45864908037224 |
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 |
123539j1 |
Quadratic twists by: 13 |