Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6732a |
Isogeny class |
Conductor |
6732 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-18546593649408 = -1 · 28 · 318 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,207412] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:405:1] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
3.9458764917555 |
L(r)(E,1)/r! |
Ω |
0.56027200218259 |
Real period |
R |
3.5213936055915 |
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 |
26928bg1 107712bd1 2244b1 74052e1 |
Quadratic twists by: -4 8 -3 -11 |