Atkin-Lehner |
3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259a |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
128786981699673 = 39 · 11 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 4 -2 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12773,106084] |
[a1,a2,a3,a4,a6] |
Generators |
[-10880:98308:125] |
Generators of the group modulo torsion |
j |
19683/11 |
j-invariant |
L |
4.9643675337764 |
L(r)(E,1)/r! |
Ω |
0.50668543844147 |
Real period |
R |
4.898865408509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83259d1 99c1 |
Quadratic twists by: -3 29 |