Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bk |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-3486541257728 = -1 · 210 · 237 |
Discriminant |
Eigenvalues |
2- -1 -4 2 4 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,90361] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2645:1] |
Generators of the group modulo torsion |
j |
-256/23 |
j-invariant |
L |
3.8369025836603 |
L(r)(E,1)/r! |
Ω |
0.65115907919049 |
Real period |
R |
1.4731049240803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856j1 8464g1 1472j1 |
Quadratic twists by: -4 8 -23 |