Atkin-Lehner |
2- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12688b |
Isogeny class |
Conductor |
12688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9129891743147229184 = -1 · 220 · 132 · 616 |
Discriminant |
Eigenvalues |
2- 0 2 -4 -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-961739,-391049350] |
[a1,a2,a3,a4,a6] |
j |
-24017922952040513313/2228977476354304 |
j-invariant |
L |
0.15165183473462 |
L(r)(E,1)/r! |
Ω |
0.075825917367308 |
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 |
1586c2 50752m2 114192bj2 |
Quadratic twists by: -4 8 -3 |