Atkin-Lehner |
2- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13858o |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-35652326892026 = -1 · 2 · 139 · 412 |
Discriminant |
Eigenvalues |
2- -1 1 1 0 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11580,554263] |
[a1,a2,a3,a4,a6] |
j |
-16194277/3362 |
j-invariant |
L |
2.4969271332243 |
L(r)(E,1)/r! |
Ω |
0.62423178330607 |
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 |
110864u1 124722x1 13858e1 |
Quadratic twists by: -4 -3 13 |