Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bk |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1843686014976 = 222 · 32 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4577,-98175] |
[a1,a2,a3,a4,a6] |
Generators |
[3149:176640:1] |
Generators of the group modulo torsion |
j |
40459583737/7033104 |
j-invariant |
L |
5.5734921817057 |
L(r)(E,1)/r! |
Ω |
0.58732380699695 |
Real period |
R |
4.7448205873052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42432r2 10608z2 127296cd2 |
Quadratic twists by: -4 8 -3 |