Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200b |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-43776000000 = -1 · 214 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 5 -6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,267,9837] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:69:1] |
Generators of the group modulo torsion |
j |
8192/171 |
j-invariant |
L |
5.0686272111876 |
L(r)(E,1)/r! |
Ω |
0.85226678308034 |
Real period |
R |
2.9736153704922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200ia1 5700m1 3648m1 |
Quadratic twists by: -4 8 5 |