Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956bi |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1408287940367616 = -1 · 28 · 36 · 79 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15892,-1968604] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2058:1] |
Generators of the group modulo torsion |
j |
-42969904/136323 |
j-invariant |
L |
6.7736858597906 |
L(r)(E,1)/r! |
Ω |
0.19604863836098 |
Real period |
R |
0.95975132912226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999633383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956u1 |
Quadratic twists by: -7 |