Atkin-Lehner |
3- 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12441g |
Isogeny class |
Conductor |
12441 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10304 |
Modular degree for the optimal curve |
Δ |
-156929368167 = -1 · 37 · 114 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,797,-16912] |
[a1,a2,a3,a4,a6] |
Generators |
[29:161:1] |
Generators of the group modulo torsion |
j |
55984089431375/156929368167 |
j-invariant |
L |
2.7945768224094 |
L(r)(E,1)/r! |
Ω |
0.52639589168484 |
Real period |
R |
0.75841256865891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37323f1 |
Quadratic twists by: -3 |