Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850be |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-3.5410500983289E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13+ -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-140076,287000398] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:17481:1] |
Generators of the group modulo torsion |
j |
-486329296900215625/56656801573261812 |
j-invariant |
L |
6.254922427471 |
L(r)(E,1)/r! |
Ω |
0.16925718240055 |
Real period |
R |
0.15397973906652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850bw1 |
Quadratic twists by: 5 |