Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304bm |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
517201215552 = 26 · 311 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13557,-606580] |
[a1,a2,a3,a4,a6] |
j |
5906184342976/11085417 |
j-invariant |
L |
1.769976960591 |
L(r)(E,1)/r! |
Ω |
0.44249424014975 |
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 |
38304p1 76608cr1 12768e1 |
Quadratic twists by: -4 8 -3 |