Atkin-Lehner |
2- 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632n |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-23556096 = -1 · 212 · 34 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71,-71] |
[a1,a2,a3,a4,a6] |
j |
9528128/5751 |
j-invariant |
L |
2.4815144978777 |
L(r)(E,1)/r! |
Ω |
1.2407572489389 |
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 |
13632t1 6816c1 40896bz1 |
Quadratic twists by: -4 8 -3 |