Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006b |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
267520 |
Modular degree for the optimal curve |
Δ |
5.3616739415789E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2258230,680937556] |
[a1,a2,a3,a4,a6] |
Generators |
[-192762135:10214590876:226981] |
Generators of the group modulo torsion |
j |
1273586744879073781899625/536167394157891944448 |
j-invariant |
L |
2.3546104719129 |
L(r)(E,1)/r! |
Ω |
0.1486862474421 |
Real period |
R |
15.836101269755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048cx1 18018be1 42042be1 66066bz1 |
Quadratic twists by: -4 -3 -7 -11 |