Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162ci |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-1.7562060692623E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-487895,240660335] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:19210:1] |
Generators of the group modulo torsion |
j |
-82192647625/112384512 |
j-invariant |
L |
10.78206018717 |
L(r)(E,1)/r! |
Ω |
0.19711954926046 |
Real period |
R |
3.0387820282653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21054m2 63162s2 |
Quadratic twists by: -3 -11 |