Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720s |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
10358374400 = 214 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8376,-292240] |
[a1,a2,a3,a4,a6] |
j |
15868125221689/2528900 |
j-invariant |
L |
3.9923647003311 |
L(r)(E,1)/r! |
Ω |
0.49904558754139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090e1 66880dw1 83600bi1 |
Quadratic twists by: -4 8 5 |