Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192u |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
1.1375041237235E+20 |
Discriminant |
Eigenvalues |
2- 2 -1 1 11+ 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1502561,489637409] |
[a1,a2,a3,a4,a6] |
Generators |
[265:10488:1] |
Generators of the group modulo torsion |
j |
11449075068218623688/3471387096324037 |
j-invariant |
L |
7.0217808468412 |
L(r)(E,1)/r! |
Ω |
0.173536825848 |
Real period |
R |
3.3718975845275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192z1 8096b1 |
Quadratic twists by: -4 8 |