Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ck |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-126457448832000 = -1 · 210 · 312 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1278,540436] |
[a1,a2,a3,a4,a6] |
j |
2532139147/1387736064 |
j-invariant |
L |
1.8272508981816 |
L(r)(E,1)/r! |
Ω |
0.45681272401267 |
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 |
21450bz1 64350fh1 |
Quadratic twists by: -3 5 |