Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cp |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5851542528 = 210 · 32 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2997,-64053] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1872:1] |
Generators of the group modulo torsion |
j |
2908230909952/5714397 |
j-invariant |
L |
8.9032982928439 |
L(r)(E,1)/r! |
Ω |
0.64530801378318 |
Real period |
R |
2.2994957711873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432o1 10608q1 127296dc1 |
Quadratic twists by: -4 8 -3 |