Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770bh |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
737193960000000000 = 212 · 38 · 510 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1800527,929456151] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:35874:1] |
Generators of the group modulo torsion |
j |
885512859588017161129/1011240000000000 |
j-invariant |
L |
5.6333735981898 |
L(r)(E,1)/r! |
Ω |
0.28382184463248 |
Real period |
R |
0.3308045583715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38160cd2 1590a2 23850p2 |
Quadratic twists by: -4 -3 5 |