Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005j |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
450225 = 33 · 52 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-374,2747] |
[a1,a2,a3,a4,a6] |
Generators |
[15:16:1] |
Generators of the group modulo torsion |
j |
5763259856089/450225 |
j-invariant |
L |
6.0276470418819 |
L(r)(E,1)/r! |
Ω |
2.8285121983536 |
Real period |
R |
1.4206873011167 |
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 |
30015m1 50025g1 |
Quadratic twists by: -3 5 |