Atkin-Lehner |
2+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810m |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5074923882250000 = -1 · 24 · 56 · 176 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2836,-3427680] |
[a1,a2,a3,a4,a6] |
Generators |
[251:-3738:1] |
Generators of the group modulo torsion |
j |
104487111/210250000 |
j-invariant |
L |
4.3099547795897 |
L(r)(E,1)/r! |
Ω |
0.20031915693287 |
Real period |
R |
0.8964766623354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
290a2 |
Quadratic twists by: 17 |