Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370o |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
66214404787500000 = 25 · 37 · 58 · 174 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-167499,-23258907] |
[a1,a2,a3,a4,a6] |
j |
712909329176250289/90829087500000 |
j-invariant |
L |
3.8075185692216 |
L(r)(E,1)/r! |
Ω |
0.23796991056197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790y4 |
Quadratic twists by: -3 |