Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44506ba |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
484704 |
Modular degree for the optimal curve |
Δ |
-7700343317911552 = -1 · 211 · 72 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -7 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70522,8324359] |
[a1,a2,a3,a4,a6] |
Generators |
[409:6731:1] |
Generators of the group modulo torsion |
j |
-5560407073/1103872 |
j-invariant |
L |
15.011835312589 |
L(r)(E,1)/r! |
Ω |
0.39935475213141 |
Real period |
R |
0.5695488759723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506q1 |
Quadratic twists by: 17 |