Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464k |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
418784256 = 210 · 37 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,25990] |
[a1,a2,a3,a4,a6] |
j |
676449508/561 |
j-invariant |
L |
3.3342696135017 |
L(r)(E,1)/r! |
Ω |
1.6671348067509 |
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 |
26928o1 107712br1 4488g1 |
Quadratic twists by: -4 8 -3 |