Atkin-Lehner |
3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727g |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
361152 |
Modular degree for the optimal curve |
Δ |
-7688611840728069 = -1 · 39 · 198 · 23 |
Discriminant |
Eigenvalues |
1 3- -1 3 4 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24435,-4461458] |
[a1,a2,a3,a4,a6] |
j |
-130321/621 |
j-invariant |
L |
3.1099347044193 |
L(r)(E,1)/r! |
Ω |
0.17277414894258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24909c1 74727n1 |
Quadratic twists by: -3 -19 |