Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
20328n |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-152234890847900784 = -1 · 24 · 311 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40704,18490617] |
[a1,a2,a3,a4,a6] |
j |
350208169805056/7148520419229 |
j-invariant |
L |
0.9712400823531 |
L(r)(E,1)/r! |
Ω |
0.24281002058828 |
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 |
40656x1 60984m1 20328b1 |
Quadratic twists by: -4 -3 -11 |