Atkin-Lehner |
3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025v |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-341889609375 = -1 · 38 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1062,24867] |
[a1,a2,a3,a4,a6] |
j |
8477185319/21880935 |
j-invariant |
L |
2.688124953484 |
L(r)(E,1)/r! |
Ω |
0.67203123833516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10005d1 |
Quadratic twists by: 5 |