Atkin-Lehner |
2+ 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422h |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-1.8000142936812E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1007144,-514676672] |
[a1,a2,a3,a4,a6] |
Generators |
[1152:46072:1] |
Generators of the group modulo torsion |
j |
112979005552983862858103/180001429368115993344 |
j-invariant |
L |
3.6422241880228 |
L(r)(E,1)/r! |
Ω |
0.095043013575873 |
Real period |
R |
0.91242501959519 |
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 |
49266bx1 114954s1 |
Quadratic twists by: -3 -7 |