Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bo |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-82115019702009856 = -1 · 220 · 238 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16223,13769439] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:737:1] |
Generators of the group modulo torsion |
j |
23/4 |
j-invariant |
L |
3.1565371832305 |
L(r)(E,1)/r! |
Ω |
0.26380228782667 |
Real period |
R |
5.9827706750296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856n1 8464o1 33856bn1 |
Quadratic twists by: -4 8 -23 |