Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cz |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-1214339855329280000 = -1 · 214 · 54 · 179 |
Discriminant |
Eigenvalues |
2- -1 5- 3 0 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1678608,839326912] |
[a1,a2,a3,a4,a6] |
Generators |
[197694:2721802:343] |
Generators of the group modulo torsion |
j |
-1723025/4 |
j-invariant |
L |
5.7850607826003 |
L(r)(E,1)/r! |
Ω |
0.27386091308135 |
Real period |
R |
5.2810208643813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450bh1 115600bj2 115600cs1 |
Quadratic twists by: -4 5 17 |