Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600ch |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752000 |
Modular degree for the optimal curve |
Δ |
-1.4042756284416E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56651208,-164200259088] |
[a1,a2,a3,a4,a6] |
Generators |
[26489347318971611960036175732644:7190324430948156336665095140352000:355694767069329118691880157] |
Generators of the group modulo torsion |
j |
-2513397956724215189/1755344535552 |
j-invariant |
L |
4.9267269322127 |
L(r)(E,1)/r! |
Ω |
0.027513704850256 |
Real period |
R |
44.766117095339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450l1 99600dl1 |
Quadratic twists by: -4 5 |