Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110466bc |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
17024000 |
Modular degree for the optimal curve |
Δ |
8.9558662272654E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47156054,124567693413] |
[a1,a2,a3,a4,a6] |
Generators |
[3809:12315:1] |
Generators of the group modulo torsion |
j |
49297640752963/38071296 |
j-invariant |
L |
12.388144881744 |
L(r)(E,1)/r! |
Ω |
0.12904850736104 |
Real period |
R |
4.7998016951178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36822f1 110466f1 |
Quadratic twists by: -3 -19 |