Atkin-Lehner |
2- 3- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534bk |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-58038417856134144 = -1 · 210 · 311 · 114 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-475664,-126681357] |
[a1,a2,a3,a4,a6] |
Generators |
[7102:94455:8] |
Generators of the group modulo torsion |
j |
-16326616019166770617/79613741915136 |
j-invariant |
L |
13.360918448357 |
L(r)(E,1)/r! |
Ω |
0.090869446854796 |
Real period |
R |
3.6758555521833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35178h1 |
Quadratic twists by: -3 |