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 |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
164081015193600000 = 224 · 310 · 55 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-141647,6455319] |
[a1,a2,a3,a4,a6] |
Generators |
[467:-6714:1] |
Generators of the group modulo torsion |
j |
431137155391783849/225076838400000 |
j-invariant |
L |
5.6333735981898 |
L(r)(E,1)/r! |
Ω |
0.28382184463248 |
Real period |
R |
0.16540227918575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160cd1 1590a1 23850p1 |
Quadratic twists by: -4 -3 5 |