Atkin-Lehner |
2+ 3- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534w |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-3728813498302464 = -1 · 226 · 36 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-211200,-37421056] |
[a1,a2,a3,a4,a6] |
Generators |
[390656:11678976:343] |
Generators of the group modulo torsion |
j |
-1429154174078259201/5114970505216 |
j-invariant |
L |
4.7658005981587 |
L(r)(E,1)/r! |
Ω |
0.11132762234623 |
Real period |
R |
5.3510985326836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999695461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726j1 |
Quadratic twists by: -3 |