Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162o |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-159509796852384 = -1 · 25 · 317 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11160,761184] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1119:1] |
Generators of the group modulo torsion |
j |
-158428241531/164392416 |
j-invariant |
L |
4.0805965166398 |
L(r)(E,1)/r! |
Ω |
0.52337735194073 |
Real period |
R |
0.97458279893459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054bc1 63162br1 |
Quadratic twists by: -3 -11 |