Atkin-Lehner |
2- 3+ 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bh |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-4780166092416 = -1 · 27 · 33 · 114 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 13- -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4622,161437] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:461:1] |
Generators of the group modulo torsion |
j |
-404353939449123/177043188608 |
j-invariant |
L |
11.444879444736 |
L(r)(E,1)/r! |
Ω |
0.72137173113965 |
Real period |
R |
0.094437139142374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999797626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682e1 |
Quadratic twists by: -3 |