Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fw |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-5278115641500 = -1 · 22 · 37 · 53 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4595,164207] |
[a1,a2,a3,a4,a6] |
j |
-24389/12 |
j-invariant |
L |
5.7018421694277 |
L(r)(E,1)/r! |
Ω |
0.71273027045241 |
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 |
25350bq1 76050cq1 450c1 |
Quadratic twists by: -3 5 13 |