Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770u |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-286200000000 = -1 · 29 · 33 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -5 -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1393,15831] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-396:1] |
Generators of the group modulo torsion |
j |
11079127187757/10600000000 |
j-invariant |
L |
5.6551722148546 |
L(r)(E,1)/r! |
Ω |
0.63962730213805 |
Real period |
R |
0.061398300445511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38160x1 4770a1 23850f1 |
Quadratic twists by: -4 -3 5 |