Atkin-Lehner |
2+ 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370w |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1519602395400 = 23 · 312 · 52 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4758939,-3994698627] |
[a1,a2,a3,a4,a6] |
Generators |
[-36792683004:18377778327:29218112] |
Generators of the group modulo torsion |
j |
16350334774616514583729/2084502600 |
j-invariant |
L |
5.1362974605057 |
L(r)(E,1)/r! |
Ω |
0.10221673764878 |
Real period |
R |
12.562271059134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790t2 |
Quadratic twists by: -3 |