Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600dj |
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 |
[260:4050:1] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
7.1193864865397 |
L(r)(E,1)/r! |
Ω |
0.596117539387 |
Real period |
R |
2.9857310116556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600dk1 31200o1 3744f1 |
Quadratic twists by: -4 -3 5 |