Atkin-Lehner |
2+ 5+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
17510d |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1099872 |
Modular degree for the optimal curve |
Δ |
-1.5378360389722E+22 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5677706,-2912037368] |
[a1,a2,a3,a4,a6] |
Generators |
[232629611237153865768:30327287622838346141707:13848379117123221] |
Generators of the group modulo torsion |
j |
20241492092499035829685031/15378360389722379386880 |
j-invariant |
L |
4.2664412295085 |
L(r)(E,1)/r! |
Ω |
0.069457020776676 |
Real period |
R |
30.712814786761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87550k1 |
Quadratic twists by: 5 |