Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160cj |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.5138781040886E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4389987,-3004919966] |
[a1,a2,a3,a4,a6] |
Generators |
[-817:6030:1] |
Generators of the group modulo torsion |
j |
3133472866308360289/506994714000000 |
j-invariant |
L |
5.3487471048224 |
L(r)(E,1)/r! |
Ω |
0.10544194481473 |
Real period |
R |
4.2272449183762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770r2 12720y2 |
Quadratic twists by: -4 -3 |