Atkin-Lehner |
3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17457c |
Isogeny class |
Conductor |
17457 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6568691155373203263 = 32 · 118 · 237 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-745372,-214875583] |
[a1,a2,a3,a4,a6] |
Generators |
[12890020:414435541:8000] |
Generators of the group modulo torsion |
j |
309368403125137/44372288367 |
j-invariant |
L |
4.2944138542294 |
L(r)(E,1)/r! |
Ω |
0.16403573756017 |
Real period |
R |
13.089872725613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52371d3 759b4 |
Quadratic twists by: -3 -23 |