Atkin-Lehner |
2+ 3- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330k |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-84660 = -1 · 22 · 3 · 5 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9,16] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
-68417929/84660 |
j-invariant |
L |
5.7436246818255 |
L(r)(E,1)/r! |
Ω |
3.0847521089981 |
Real period |
R |
0.93097021719648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990cb1 |
Quadratic twists by: -3 |