Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600do |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
77000625000000 = 26 · 36 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48825,4131000] |
[a1,a2,a3,a4,a6] |
Generators |
[39:1512:1] |
Generators of the group modulo torsion |
j |
17657244864/105625 |
j-invariant |
L |
8.9833293909578 |
L(r)(E,1)/r! |
Ω |
0.61475622894571 |
Real period |
R |
3.6532079570339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000231 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93600dq1 10400a1 18720m1 |
Quadratic twists by: -4 -3 5 |