Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2006b |
Isogeny class |
Conductor |
2006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1291777212416 = -1 · 218 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ -1 1 -1 -2 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1003,-52883] |
[a1,a2,a3,a4,a6] |
Generators |
[42:235:1] |
Generators of the group modulo torsion |
j |
111416568869159/1291777212416 |
j-invariant |
L |
1.9393640589113 |
L(r)(E,1)/r! |
Ω |
0.42271824412851 |
Real period |
R |
1.1469602305133 |
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 |
16048s1 64192j1 18054v1 50150bi1 |
Quadratic twists by: -4 8 -3 5 |