Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400co |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
134873088000 = 220 · 3 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1288,-2572] |
[a1,a2,a3,a4,a6] |
j |
461889917/263424 |
j-invariant |
L |
1.7244648146224 |
L(r)(E,1)/r! |
Ω |
0.86223240731121 |
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 |
1050e1 33600fk1 25200ex1 8400bv1 |
Quadratic twists by: -4 8 -3 5 |