Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
20328b |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-2.696933954654E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4925144,-24630711851] |
[a1,a2,a3,a4,a6] |
j |
350208169805056/7148520419229 |
j-invariant |
L |
1.7133883996899 |
L(r)(E,1)/r! |
Ω |
0.047594122213609 |
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 |
40656v1 60984bz1 20328n1 |
Quadratic twists by: -4 -3 -11 |