Atkin-Lehner |
2- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
6004b |
Isogeny class |
Conductor |
6004 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-30356224 = -1 · 28 · 19 · 792 |
Discriminant |
Eigenvalues |
2- -2 -1 -5 1 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-257] |
[a1,a2,a3,a4,a6] |
Generators |
[18:79:1] |
Generators of the group modulo torsion |
j |
2809856/118579 |
j-invariant |
L |
1.874126856902 |
L(r)(E,1)/r! |
Ω |
1.0028744208374 |
Real period |
R |
0.93437763391009 |
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 |
24016h1 96064m1 54036f1 114076e1 |
Quadratic twists by: -4 8 -3 -19 |