Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cn |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12099613114368 = 214 · 32 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6193,-86833] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:156:1] |
Generators of the group modulo torsion |
j |
1603530178000/738501777 |
j-invariant |
L |
6.451161710864 |
L(r)(E,1)/r! |
Ω |
0.56236808333111 |
Real period |
R |
0.95595184928475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432k2 10608b2 127296ct2 |
Quadratic twists by: -4 8 -3 |