Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320cv |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-17756160 = -1 · 212 · 3 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,-217] |
[a1,a2,a3,a4,a6] |
j |
-438976/4335 |
j-invariant |
L |
1.8531700878218 |
L(r)(E,1)/r! |
Ω |
0.92658504391091 |
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 |
16320cb1 8160g1 48960ey1 81600gl1 |
Quadratic twists by: -4 8 -3 5 |