Atkin-Lehner |
2- 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932v |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
4419072 |
Modular degree for the optimal curve |
Δ |
-6.3929321556035E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15347352,23173813028] |
[a1,a2,a3,a4,a6] |
Generators |
[-896:190278:1] [1564:54738:1] |
Generators of the group modulo torsion |
j |
-2142183059401251364864/3425568070346499 |
j-invariant |
L |
11.338139291444 |
L(r)(E,1)/r! |
Ω |
0.16201742488175 |
Real period |
R |
0.41655349357552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644d1 |
Quadratic twists by: -3 |