Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bc |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1205338112 = -1 · 219 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 4 1 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,1650] |
[a1,a2,a3,a4,a6] |
j |
101871/2432 |
j-invariant |
L |
2.3056719997203 |
L(r)(E,1)/r! |
Ω |
1.1528359998605 |
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 |
4598e1 36784s1 |
Quadratic twists by: -4 -11 |