Atkin-Lehner |
2- 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56168d |
Isogeny class |
Conductor |
56168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-29088733184 = -1 · 211 · 72 · 173 · 59 |
Discriminant |
Eigenvalues |
2- -3 2 7- 6 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139,8230] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:70:1] |
Generators of the group modulo torsion |
j |
-145023426/14203483 |
j-invariant |
L |
5.0530760755494 |
L(r)(E,1)/r! |
Ω |
0.96935915664988 |
Real period |
R |
2.60640034231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112336a1 |
Quadratic twists by: -4 |