Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352dz |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
57480192 = 210 · 36 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-936,-11016] |
[a1,a2,a3,a4,a6] |
Generators |
[46:208:1] [126:1368:1] |
Generators of the group modulo torsion |
j |
121485312/77 |
j-invariant |
L |
8.3194737921413 |
L(r)(E,1)/r! |
Ω |
0.86317154483648 |
Real period |
R |
9.6382623383614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cc1 11088l1 4928s1 |
Quadratic twists by: -4 8 -3 |