Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400do |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-16711680000 = -1 · 219 · 3 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,5588] |
[a1,a2,a3,a4,a6] |
j |
2595575/6528 |
j-invariant |
L |
1.7263071647926 |
L(r)(E,1)/r! |
Ω |
0.86315358239629 |
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 |
2550e1 81600gx1 61200hc1 20400cd1 |
Quadratic twists by: -4 8 -3 5 |