Atkin-Lehner |
2- 3+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386q |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
138211164 = 22 · 33 · 74 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-165,-657] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:18:1] |
Generators of the group modulo torsion |
j |
496981290961/138211164 |
j-invariant |
L |
7.5537382799219 |
L(r)(E,1)/r! |
Ω |
1.360001055395 |
Real period |
R |
0.69427687665725 |
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 |
67158s1 |
Quadratic twists by: -3 |