Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020i |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1418439484189440 = 28 · 34 · 5 · 23 · 296 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73780,7473188] |
[a1,a2,a3,a4,a6] |
Generators |
[128:378:1] |
Generators of the group modulo torsion |
j |
173502439631277136/5540779235115 |
j-invariant |
L |
8.4742019212209 |
L(r)(E,1)/r! |
Ω |
0.47706933851917 |
Real period |
R |
2.9605067289669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120060e2 |
Quadratic twists by: -3 |