Atkin-Lehner |
2- 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
45264t |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
422958403584 = 212 · 32 · 234 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2944,51956] |
[a1,a2,a3,a4,a6] |
j |
689167345537/103261329 |
j-invariant |
L |
3.6182003883338 |
L(r)(E,1)/r! |
Ω |
0.90455009703974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829e1 |
Quadratic twists by: -4 |