Atkin-Lehner |
2+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59534a |
Isogeny class |
Conductor |
59534 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-8096624 = -1 · 24 · 173 · 103 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14,132] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
59319/1648 |
j-invariant |
L |
3.6799967068145 |
L(r)(E,1)/r! |
Ω |
1.7542945605196 |
Real period |
R |
2.0977074144717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59534b1 |
Quadratic twists by: 17 |