Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856be |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1844380325338112 = -1 · 210 · 239 |
Discriminant |
Eigenvalues |
2- 1 0 2 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38793,-3607153] |
[a1,a2,a3,a4,a6] |
Generators |
[91727671807818:-16540018867447775:2821151997] |
Generators of the group modulo torsion |
j |
-42592000/12167 |
j-invariant |
L |
7.295969562992 |
L(r)(E,1)/r! |
Ω |
0.16761164392504 |
Real period |
R |
21.764506904588 |
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 |
33856k2 8464n2 1472m2 |
Quadratic twists by: -4 8 -23 |