Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bl |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-32717353861251072 = -1 · 218 · 32 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14143,-8683167] |
[a1,a2,a3,a4,a6] |
Generators |
[11771427016:-202848862825:35287552] |
Generators of the group modulo torsion |
j |
1193377118543/124806800313 |
j-invariant |
L |
6.2202732510202 |
L(r)(E,1)/r! |
Ω |
0.17515527319082 |
Real period |
R |
17.756454423847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432s3 10608ba4 127296cg3 |
Quadratic twists by: -4 8 -3 |