Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086p |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.618720030937E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29181906,-60699805394] |
[a1,a2,a3,a4,a6] |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
0.58458631155555 |
L(r)(E,1)/r! |
Ω |
0.032476992335161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13454g3 3906l3 |
Quadratic twists by: -3 -31 |