Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660bd |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-315802800 = -1 · 24 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,848] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-45:1] |
Generators of the group modulo torsion |
j |
-311296/54675 |
j-invariant |
L |
6.5656221417338 |
L(r)(E,1)/r! |
Ω |
1.4047108980326 |
Real period |
R |
0.11128577198831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640cn1 64980s1 108300p1 21660k1 |
Quadratic twists by: -4 -3 5 -19 |