Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600bj |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-991270000 = -1 · 24 · 54 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-558,-5113] |
[a1,a2,a3,a4,a6] |
Generators |
[346:1785:8] |
Generators of the group modulo torsion |
j |
-1924883200/99127 |
j-invariant |
L |
8.6195000927545 |
L(r)(E,1)/r! |
Ω |
0.48960515053139 |
Real period |
R |
2.9341671492488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900i1 47600bd1 |
Quadratic twists by: -4 5 |