Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13416g |
Isogeny class |
Conductor |
13416 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
2.7376316048843E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-839327,155367642] |
[a1,a2,a3,a4,a6] |
j |
4086935924979581483008/1711019753052668253 |
j-invariant |
L |
3.431136903775 |
L(r)(E,1)/r! |
Ω |
0.19061871687639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26832b1 107328h1 40248j1 |
Quadratic twists by: -4 8 -3 |