Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bg |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-10264377462751232 = -1 · 217 · 238 |
Discriminant |
Eigenvalues |
2- -1 2 -2 4 -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16223,-4814527] |
[a1,a2,a3,a4,a6] |
Generators |
[1741:72784:1] |
Generators of the group modulo torsion |
j |
46 |
j-invariant |
L |
4.4326710457353 |
L(r)(E,1)/r! |
Ω |
0.19739218782363 |
Real period |
R |
5.6140406246673 |
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 |
33856e1 8464f1 33856bh1 |
Quadratic twists by: -4 8 -23 |