Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600dp |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
2.1344746501406E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3660825,1525579000] |
[a1,a2,a3,a4,a6] |
Generators |
[1117304120:184245384375:6229504] |
Generators of the group modulo torsion |
j |
7442744143086784/2927948765625 |
j-invariant |
L |
5.4932801141948 |
L(r)(E,1)/r! |
Ω |
0.13334566886736 |
Real period |
R |
10.298947375243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001578 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93600dn1 31200p1 18720j1 |
Quadratic twists by: -4 -3 5 |