Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664h |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
124607808 = 26 · 34 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 -6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146,468] |
[a1,a2,a3,a4,a6] |
j |
5414689216/1946997 |
j-invariant |
L |
3.4040731057646 |
L(r)(E,1)/r! |
Ω |
1.7020365534984 |
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 |
53664o1 107328cn2 |
Quadratic twists by: -4 8 |