Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cc |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-181893341380608 = -1 · 227 · 36 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5456,631892] |
[a1,a2,a3,a4,a6] |
Generators |
[434:9216:1] |
Generators of the group modulo torsion |
j |
25943020727/262766592 |
j-invariant |
L |
7.6083476411396 |
L(r)(E,1)/r! |
Ω |
0.41838215998483 |
Real period |
R |
0.75771511192815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154bb1 89232cp1 |
Quadratic twists by: -4 13 |