Atkin-Lehner |
2+ 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394w |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.0961656064885E+26 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-237883220,1499323032722] |
[a1,a2,a3,a4,a6] |
Generators |
[-4071:1551319:1] |
Generators of the group modulo torsion |
j |
-840347716046483516416273/61875690788436630336 |
j-invariant |
L |
3.764611131006 |
L(r)(E,1)/r! |
Ω |
0.05829781478874 |
Real period |
R |
4.0359693773682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854r2 |
Quadratic twists by: -11 |