Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dr |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-4.56056054784E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1627758,645144916] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:18653:1] |
Generators of the group modulo torsion |
j |
334992828740851/320302743552 |
j-invariant |
L |
3.563693983531 |
L(r)(E,1)/r! |
Ω |
0.10940549637194 |
Real period |
R |
1.3572192804092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cp1 84150ha1 |
Quadratic twists by: -3 5 |