Atkin-Lehner |
2- 7+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16898h |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-9192512 = -1 · 26 · 7 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 3 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-368,-2752] |
[a1,a2,a3,a4,a6] |
Generators |
[32:120:1] |
Generators of the group modulo torsion |
j |
-5512402554625/9192512 |
j-invariant |
L |
8.5577757047466 |
L(r)(E,1)/r! |
Ω |
0.54495174778734 |
Real period |
R |
1.3086442575717 |
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 |
118286bd1 |
Quadratic twists by: -7 |