Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25143p |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-1078408413 = -1 · 32 · 173 · 293 |
Discriminant |
Eigenvalues |
-1 3- 0 1 2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108,1629] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:48:1] |
Generators of the group modulo torsion |
j |
-28372625/219501 |
j-invariant |
L |
4.255688231236 |
L(r)(E,1)/r! |
Ω |
1.3313079444709 |
Real period |
R |
0.2663851646114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75429d1 25143a1 |
Quadratic twists by: -3 17 |