Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856be |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3486541257728 = -1 · 210 · 237 |
Discriminant |
Eigenvalues |
2- 1 0 2 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3527,40831] |
[a1,a2,a3,a4,a6] |
Generators |
[32514:5862907:1] |
Generators of the group modulo torsion |
j |
32000/23 |
j-invariant |
L |
7.295969562992 |
L(r)(E,1)/r! |
Ω |
0.50283493177513 |
Real period |
R |
7.2548356348628 |
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 |
33856k1 8464n1 1472m1 |
Quadratic twists by: -4 8 -23 |