Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ew |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-169996288000000 = -1 · 218 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5567,-604737] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1472:1] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
3.5906700043128 |
L(r)(E,1)/r! |
Ω |
0.28329257583237 |
Real period |
R |
3.168694155021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996867139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bp1 30800bd1 4928bh1 |
Quadratic twists by: -4 8 5 |