Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450c |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-501988136000000 = -1 · 29 · 56 · 137 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1941475,-1042037875] |
[a1,a2,a3,a4,a6] |
Generators |
[136982:17795485:8] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
2.0397831619113 |
L(r)(E,1)/r! |
Ω |
0.063949413101572 |
Real period |
R |
7.9742059503794 |
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 |
67600bn3 76050eh3 338c3 650h3 |
Quadratic twists by: -4 -3 5 13 |