Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cj |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1111040 |
Modular degree for the optimal curve |
Δ |
-120529944000000000 = -1 · 212 · 37 · 59 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35792,16486912] |
[a1,a2,a3,a4,a6] |
Generators |
[42:4250:1] |
Generators of the group modulo torsion |
j |
633839779/15066243 |
j-invariant |
L |
2.8954140227742 |
L(r)(E,1)/r! |
Ω |
0.24835028465393 |
Real period |
R |
2.9146473664094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6225j1 99600do1 |
Quadratic twists by: -4 5 |