Atkin-Lehner |
2- 5+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119990m |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-8723752960 = -1 · 211 · 5 · 132 · 712 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -3 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5886,173380] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:256:1] [56:-170:1] |
Generators of the group modulo torsion |
j |
-133445026517881/51619840 |
j-invariant |
L |
10.044435549735 |
L(r)(E,1)/r! |
Ω |
1.2808690273145 |
Real period |
R |
0.3564495999044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990j1 |
Quadratic twists by: 13 |