Atkin-Lehner |
2+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672q |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-20672 = -1 · 26 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3 0 0 -6 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10,14] |
[a1,a2,a3,a4,a6] |
j |
-1728000/323 |
j-invariant |
L |
3.6842395572433 |
L(r)(E,1)/r! |
Ω |
3.6842395572432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20672t1 10336g1 |
Quadratic twists by: -4 8 |