Atkin-Lehner |
2+ 5+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119990b |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-234355468750 = -1 · 2 · 510 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -5 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2148,43958] |
[a1,a2,a3,a4,a6] |
Generators |
[34731:149822:729] |
Generators of the group modulo torsion |
j |
-6490164658081/1386718750 |
j-invariant |
L |
8.3014132401286 |
L(r)(E,1)/r! |
Ω |
0.94807152476302 |
Real period |
R |
4.378052155193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990r1 |
Quadratic twists by: 13 |