Atkin-Lehner |
2+ 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123192d |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
2148342331392 = 211 · 36 · 293 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 3 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10371,-400354] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1566:1] |
Generators of the group modulo torsion |
j |
82628169986/1438951 |
j-invariant |
L |
5.8845044218765 |
L(r)(E,1)/r! |
Ω |
0.47359081560173 |
Real period |
R |
2.0708820777062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13688b1 |
Quadratic twists by: -3 |