Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bx |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19943718912 = 216 · 34 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1313,-16575] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:36:1] [-16:9:1] |
Generators of the group modulo torsion |
j |
3822686500/304317 |
j-invariant |
L |
7.3127268464811 |
L(r)(E,1)/r! |
Ω |
0.79706448278387 |
Real period |
R |
4.587286853468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432be2 10608h2 127296cu2 |
Quadratic twists by: -4 8 -3 |