Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616o |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10414750053353472 = 211 · 36 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125715,16438898] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:5796:1] [-187:5780:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
8.9827305934787 |
L(r)(E,1)/r! |
Ω |
0.40149694203444 |
Real period |
R |
2.7966373006363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20808h2 4624a2 2448f2 |
Quadratic twists by: -4 -3 17 |