Atkin-Lehner |
2+ 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
106288a |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-50731700347374592 = -1 · 210 · 73 · 135 · 733 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -1 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,90568,-2746432] |
[a1,a2,a3,a4,a6] |
Generators |
[84010836:8005494484:9261] |
Generators of the group modulo torsion |
j |
80231200833383708/49542676120483 |
j-invariant |
L |
11.662793769718 |
L(r)(E,1)/r! |
Ω |
0.20565863415719 |
Real period |
R |
14.177369488572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53144d1 |
Quadratic twists by: -4 |