Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162ct |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1181514082896 = -1 · 24 · 37 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19634,1065089] |
[a1,a2,a3,a4,a6] |
Generators |
[51:415:1] [-117:1381:1] |
Generators of the group modulo torsion |
j |
-9759185353/13776 |
j-invariant |
L |
10.785839827388 |
L(r)(E,1)/r! |
Ω |
0.86468795726687 |
Real period |
R |
0.19490123100086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054t1 5166bd1 |
Quadratic twists by: -3 -7 |