Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11712be |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1328435116376064 = -1 · 219 · 3 · 615 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32961,2883903] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1056:1] |
Generators of the group modulo torsion |
j |
-15107691357361/5067577806 |
j-invariant |
L |
5.4100542934705 |
L(r)(E,1)/r! |
Ω |
0.45517846031181 |
Real period |
R |
2.9713918634048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11712b2 2928j2 35136bq2 |
Quadratic twists by: -4 8 -3 |