Atkin-Lehner |
2+ 3+ 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890m |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1960971373497600 = -1 · 28 · 314 · 52 · 29 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,28888,995904] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:216:1] |
Generators of the group modulo torsion |
j |
2665953977921479799/1960971373497600 |
j-invariant |
L |
3.5709245795115 |
L(r)(E,1)/r! |
Ω |
0.29761560348967 |
Real period |
R |
2.9996113591174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bo2 |
Quadratic twists by: -3 |