Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600b |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-48268090000000000 = -1 · 210 · 510 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54925,9337250] |
[a1,a2,a3,a4,a6] |
Generators |
[5330:147875:8] |
Generators of the group modulo torsion |
j |
237276/625 |
j-invariant |
L |
7.9088723349963 |
L(r)(E,1)/r! |
Ω |
0.25041444754163 |
Real period |
R |
3.9478913918576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33800b3 13520a4 400a4 |
Quadratic twists by: -4 5 13 |