Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bf |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
4341120 |
Modular degree for the optimal curve |
Δ |
-1.97940996E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48504159,-250438219187] |
[a1,a2,a3,a4,a6] |
Generators |
[25427:3854474:1] |
Generators of the group modulo torsion |
j |
-17311437234395043487224049/27152400000000000000000 |
j-invariant |
L |
3.9392202138708 |
L(r)(E,1)/r! |
Ω |
0.027112678857693 |
Real period |
R |
0.71220933610149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610x1 84150fm1 |
Quadratic twists by: -3 5 |