Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466bs |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-1117094015927844864 = -1 · 219 · 37 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,238792,-23905605] |
[a1,a2,a3,a4,a6] |
Generators |
[1997:-92727:1] |
Generators of the group modulo torsion |
j |
358321516679/265814016 |
j-invariant |
L |
6.6810381975597 |
L(r)(E,1)/r! |
Ω |
0.15412589123563 |
Real period |
R |
0.19012249581938 |
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 |
91728di1 3822a1 11466ci1 |
Quadratic twists by: -4 -3 -7 |