Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600dk |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
85293000000 = 26 · 38 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4125,101000] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:450:1] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
5.9985791666246 |
L(r)(E,1)/r! |
Ω |
1.0825695020924 |
Real period |
R |
1.3852642142233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600dj1 31200a1 3744e1 |
Quadratic twists by: -4 -3 5 |