Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162q |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
174423962858081904 = 24 · 324 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285588,55271200] |
[a1,a2,a3,a4,a6] |
Generators |
[377:851:1] |
Generators of the group modulo torsion |
j |
2654843034693563/179763106896 |
j-invariant |
L |
4.5219992214667 |
L(r)(E,1)/r! |
Ω |
0.31515348563011 |
Real period |
R |
3.5871404155053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21054t2 63162bt2 |
Quadratic twists by: -3 -11 |