Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350dr |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-669672714336000 = -1 · 28 · 3 · 53 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-130923,18265137] |
[a1,a2,a3,a4,a6] |
j |
-82256120549/221952 |
j-invariant |
L |
8.1953813339713 |
L(r)(E,1)/r! |
Ω |
0.51221133338238 |
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 |
43350w1 2550x1 |
Quadratic twists by: 5 17 |