Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975ba |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10471435546875 = -1 · 3 · 512 · 17 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4912,-81333] |
[a1,a2,a3,a4,a6] |
Generators |
[18:105:1] |
Generators of the group modulo torsion |
j |
838828609991/670171875 |
j-invariant |
L |
3.4808678360278 |
L(r)(E,1)/r! |
Ω |
0.40101200626114 |
Real period |
R |
4.3401042633127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925ba2 7395b2 |
Quadratic twists by: -3 5 |