Atkin-Lehner |
2+ 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550b |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-189921875000000 = -1 · 26 · 513 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 11+ 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46751,3942898] |
[a1,a2,a3,a4,a6] |
Generators |
[3909:10532:27] |
Generators of the group modulo torsion |
j |
-723207709018081/12155000000 |
j-invariant |
L |
6.6227784574467 |
L(r)(E,1)/r! |
Ω |
0.56816244715042 |
Real period |
R |
1.4570609432027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999522073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24310ba1 |
Quadratic twists by: 5 |