Atkin-Lehner |
2+ 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570g |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3073280 |
Modular degree for the optimal curve |
Δ |
-2.6267167021491E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50240355,-137054845675] |
[a1,a2,a3,a4,a6] |
Generators |
[6473857997723546251646834345976478100489187741:-2136830784275131678338915695551104328723889868799:59344383730316389990785863019538164499887] |
Generators of the group modulo torsion |
j |
-19237750463016353596082481/360317791790000000 |
j-invariant |
L |
4.1024945861023 |
L(r)(E,1)/r! |
Ω |
0.028353449022495 |
Real period |
R |
72.345600403808 |
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 |
4730k1 |
Quadratic twists by: -3 |