Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642o |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
163625406 = 2 · 3 · 73 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-194,-850] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:15:1] |
Generators of the group modulo torsion |
j |
2336752783/477042 |
j-invariant |
L |
3.9777900801385 |
L(r)(E,1)/r! |
Ω |
1.2983736144272 |
Real period |
R |
1.5318356888719 |
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 |
101136br1 37926bn1 12642d1 |
Quadratic twists by: -4 -3 -7 |