Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770bh |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
3451296389400000 = 26 · 37 · 55 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28800527,59497856151] |
[a1,a2,a3,a4,a6] |
Generators |
[1151:166374:1] |
Generators of the group modulo torsion |
j |
3624077477509875809161129/4734288600000 |
j-invariant |
L |
5.6333735981898 |
L(r)(E,1)/r! |
Ω |
0.28382184463248 |
Real period |
R |
0.661609116743 |
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 |
38160cd4 1590a3 23850p4 |
Quadratic twists by: -4 -3 5 |