Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536bd |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1740508233728 = -1 · 221 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 1 -4 1 11- -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23680,-1411916] |
[a1,a2,a3,a4,a6] |
Generators |
[234:2432:1] |
Generators of the group modulo torsion |
j |
-52271672419/61952 |
j-invariant |
L |
4.1874986129059 |
L(r)(E,1)/r! |
Ω |
0.19241624978912 |
Real period |
R |
1.3601692350934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942l1 63536be1 |
Quadratic twists by: -4 -19 |