Atkin-Lehner |
11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59653b |
Isogeny class |
Conductor |
59653 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-4.3690499854666E+20 |
Discriminant |
Eigenvalues |
1 0 -2 5 11- -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-936623,-1064229226] |
[a1,a2,a3,a4,a6] |
Generators |
[18821026:1531047505:2744] |
Generators of the group modulo torsion |
j |
-51293497953529377/246621481589773 |
j-invariant |
L |
5.40978595785 |
L(r)(E,1)/r! |
Ω |
0.069406735041746 |
Real period |
R |
4.3301801208752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
493a1 |
Quadratic twists by: -11 |