Atkin-Lehner |
2+ 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890p |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1129075125000 = -1 · 23 · 3 · 56 · 29 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,391,-51004] |
[a1,a2,a3,a4,a6] |
Generators |
[68124:244199:1728] |
Generators of the group modulo torsion |
j |
6635133687671/1129075125000 |
j-invariant |
L |
5.5457714933406 |
L(r)(E,1)/r! |
Ω |
0.41028583828376 |
Real period |
R |
6.7584242202243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122670cd2 |
Quadratic twists by: -3 |