Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bt |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-186189858968256 = -1 · 26 · 39 · 11 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 11- 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,463,-656607] |
[a1,a2,a3,a4,a6] |
Generators |
[467:-10296:1] |
Generators of the group modulo torsion |
j |
15087533111/255404470464 |
j-invariant |
L |
8.4260055316705 |
L(r)(E,1)/r! |
Ω |
0.26214874817 |
Real period |
R |
0.44641774925388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894b1 |
Quadratic twists by: -3 |