Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856q |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-2714927838897700864 = -1 · 216 · 2310 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 2 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-373121,118113631] |
[a1,a2,a3,a4,a6] |
j |
-2116 |
j-invariant |
L |
0.95414948545146 |
L(r)(E,1)/r! |
Ω |
0.2385373713623 |
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 |
33856bm1 4232i1 33856p1 |
Quadratic twists by: -4 8 -23 |