Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16008i |
Isogeny class |
Conductor |
16008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53376 |
Modular degree for the optimal curve |
Δ |
-389538672 = -1 · 24 · 3 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -5 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128272,-17639903] |
[a1,a2,a3,a4,a6] |
Generators |
[1246596:21065309:2197] |
Generators of the group modulo torsion |
j |
-14588233766058627328/24346167 |
j-invariant |
L |
4.1872920298743 |
L(r)(E,1)/r! |
Ω |
0.1261352029363 |
Real period |
R |
8.2992137254281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32016k1 128064ba1 48024d1 |
Quadratic twists by: -4 8 -3 |