Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838ch |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
617760 |
Modular degree for the optimal curve |
Δ |
-1838566105957854 = -1 · 2 · 313 · 76 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40671,-3774681] |
[a1,a2,a3,a4,a6] |
Generators |
[3870:73881:8] |
Generators of the group modulo torsion |
j |
-63239829700321/15627554046 |
j-invariant |
L |
12.766197393732 |
L(r)(E,1)/r! |
Ω |
0.16593201494002 |
Real period |
R |
2.9590889470807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262j1 |
Quadratic twists by: -7 |