Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bj |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-160739251200 = -1 · 210 · 39 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28551,1854538] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-468:1] |
Generators of the group modulo torsion |
j |
-102949871597820625/6429570048 |
j-invariant |
L |
3.3220796839575 |
L(r)(E,1)/r! |
Ω |
0.96968776917569 |
Real period |
R |
0.19032928774568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850ch1 |
Quadratic twists by: 5 |