Atkin-Lehner |
2- 3- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534bh |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-2240873496576 = -1 · 219 · 36 · 11 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11+ 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1228,69783] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:141:1] |
Generators of the group modulo torsion |
j |
281140102151/3073900544 |
j-invariant |
L |
11.012347295874 |
L(r)(E,1)/r! |
Ω |
0.6047491329261 |
Real period |
R |
0.95840935278145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726g1 |
Quadratic twists by: -3 |