Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cj |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-11992878144000 = -1 · 29 · 38 · 53 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23607,-1400099] |
[a1,a2,a3,a4,a6] |
Generators |
[179:203:1] |
Generators of the group modulo torsion |
j |
-559043381/4608 |
j-invariant |
L |
4.5646115575442 |
L(r)(E,1)/r! |
Ω |
0.19248408384313 |
Real period |
R |
1.976185712687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cf1 76050ft1 76050fu1 |
Quadratic twists by: -3 5 13 |