Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064j |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-14782003851276288 = -1 · 212 · 33 · 117 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76909,10054715] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1452:1] |
Generators of the group modulo torsion |
j |
-12282899674788352/3608887659003 |
j-invariant |
L |
4.901996940487 |
L(r)(E,1)/r! |
Ω |
0.37390330233645 |
Real period |
R |
0.31215079444181 |
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 |
20064d1 40128bj1 60192n1 |
Quadratic twists by: -4 8 -3 |