Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cf |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6578896896 = -1 · 217 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11+ 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-472,5396] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:96:1] |
Generators of the group modulo torsion |
j |
-16835377/9504 |
j-invariant |
L |
6.9379920496055 |
L(r)(E,1)/r! |
Ω |
1.2387698875149 |
Real period |
R |
0.4667259107174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154k1 89232cs1 |
Quadratic twists by: -4 13 |