Atkin-Lehner |
2+ 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370y |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-46085225732100 = -1 · 22 · 38 · 52 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6129,376753] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-505:1] |
Generators of the group modulo torsion |
j |
-34930508298769/63217044900 |
j-invariant |
L |
4.5082472794782 |
L(r)(E,1)/r! |
Ω |
0.57004825524711 |
Real period |
R |
0.49428351437489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790o2 |
Quadratic twists by: -3 |