Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20808t |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1057536 |
Modular degree for the optimal curve |
Δ |
-1.0249676265008E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 0 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,103173,486927430] |
[a1,a2,a3,a4,a6] |
Generators |
[-289:20808:1] |
Generators of the group modulo torsion |
j |
23324/19683 |
j-invariant |
L |
2.1608204020852 |
L(r)(E,1)/r! |
Ω |
0.14740408225075 |
Real period |
R |
1.221596879075 |
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 |
41616bi1 6936p1 20808o1 |
Quadratic twists by: -4 -3 17 |