Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944z |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1466533195776 = -1 · 212 · 38 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11+ -6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4827,-141622] |
[a1,a2,a3,a4,a6] |
Generators |
[109:792:1] |
Generators of the group modulo torsion |
j |
-4165509529/491139 |
j-invariant |
L |
5.7474292434756 |
L(r)(E,1)/r! |
Ω |
0.28450142382322 |
Real period |
R |
2.5252198942761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4059d1 21648w1 |
Quadratic twists by: -4 -3 |