Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856n |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
12 |
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] |
j |
23/4 |
j-invariant |
L |
1.9365856652308 |
L(r)(E,1)/r! |
Ω |
0.16138213877031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856bo1 1058b1 33856l1 |
Quadratic twists by: -4 8 -23 |