Atkin-Lehner |
2+ 3- 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534i |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-1.8370220929842E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,527670,-144206348] |
[a1,a2,a3,a4,a6] |
Generators |
[788:27182:1] |
Generators of the group modulo torsion |
j |
22288607259561133919/25199205665078016 |
j-invariant |
L |
4.3870003461753 |
L(r)(E,1)/r! |
Ω |
0.11743679592437 |
Real period |
R |
4.6695334312133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35178q1 |
Quadratic twists by: -3 |