Atkin-Lehner |
2- 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386ba |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-110884842432 = -1 · 26 · 36 · 73 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-643,17153] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:161:1] |
Generators of the group modulo torsion |
j |
-29403487464625/110884842432 |
j-invariant |
L |
9.8847260860338 |
L(r)(E,1)/r! |
Ω |
0.92179379912165 |
Real period |
R |
1.7872265459391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
67158v1 |
Quadratic twists by: -3 |