Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005j |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1621620405 = -1 · 36 · 5 · 232 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-349,3137] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:71:1] |
Generators of the group modulo torsion |
j |
-4681768588489/1621620405 |
j-invariant |
L |
6.0276470418819 |
L(r)(E,1)/r! |
Ω |
1.4142560991768 |
Real period |
R |
0.71034365055834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30015m2 50025g2 |
Quadratic twists by: -3 5 |