Atkin-Lehner |
2+ 3- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19866i |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
27076245504 = 211 · 3 · 7 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ -1 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1445,19472] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:186:1] |
Generators of the group modulo torsion |
j |
333345918055753/27076245504 |
j-invariant |
L |
3.2451132085238 |
L(r)(E,1)/r! |
Ω |
1.1588891432021 |
Real period |
R |
1.4000964749558 |
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 |
59598x1 |
Quadratic twists by: -3 |