Atkin-Lehner |
2- 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670y |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
8019875266560 = 216 · 37 · 5 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2549535,-1567106343] |
[a1,a2,a3,a4,a6] |
j |
1832764473200747902512241/8019875266560 |
j-invariant |
L |
6.6907120021746 |
L(r)(E,1)/r! |
Ω |
0.11947700003883 |
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 |
53010i1 88350d1 |
Quadratic twists by: -3 5 |